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55413655653636 = 223275911633204679
BaseRepresentation
bin11001001100101111111110…
…10000101100110100000100
321021012111022221100211201100
430212113333100230310010
524230344131321404021
6313504403150100100
714446335021263460
oct1446277720546404
9237174287324640
1055413655653636
1116724887a92705
12626b6551aa630
1324bc6402aa6a7
14d9806c9d14a0
15661682a3e626
hex3265ff42cd04

55413655653636 has 144 divisors (see below), whose sum is σ = 162937211673600. Its totient is φ = 15550738451136.

The previous prime is 55413655653613. The next prime is 55413655653637. The reversal of 55413655653636 is 63635655631455.

It is a happy number.

55413655653636 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 3 + 6 + 5 + 565 + 3 + 63 + 6 = 666.

55413655653636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55413655653637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15689145 + ... + 18893823.

It is an arithmetic number, because the mean of its divisors is an integer number (1131508414400).

Almost surely, 255413655653636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55413655653636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81468605836800).

55413655653636 is an abundant number, since it is smaller than the sum of its proper divisors (107523556019964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55413655653636 is a wasteful number, since it uses less digits than its factorization.

55413655653636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205918 (or 3205913 counting only the distinct ones).

The product of its digits is 437400000, while the sum is 63.

The spelling of 55413655653636 in words is "fifty-five trillion, four hundred thirteen billion, six hundred fifty-five million, six hundred fifty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1163 1239 1652 2124 2326 2478 3489 3717 4652 4956 6978 7434 8141 10467 13956 14868 16282 20934 24423 32564 41868 48846 68617 73269 97692 137234 146538 205851 274468 293076 411702 480319 617553 823404 960638 1235106 1440957 1921276 2470212 2881914 3204679 4322871 5763828 6409358 8645742 9614037 12818716 17291484 19228074 22432753 28842111 38456148 44865506 57684222 67298259 89731012 115368444 134596518 189076061 201894777 269193036 378152122 403789554 567228183 756304244 807579108 1134456366 1323532427 1701684549 2268912732 2647064854 3403369098 3727041677 3970597281 5294129708 6806738196 7454083354 7941194562 11181125031 11911791843 14908166708 15882389124 22362250062 23823583686 26089291739 33543375093 44724500124 47647167372 52178583478 67086750186 78267875217 104357166956 134173500372 156535750434 219895458943 234803625651 313071500868 439790917886 469607251302 659686376829 879581835772 939214502604 1319372753658 1539268212601 1979059130487 2638745507316 3078536425202 3958118260974 4617804637803 6157072850404 7916236521948 9235609275606 13853413913409 18471218551212 27706827826818 55413655653636