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55436217641460 = 22345191801046707
BaseRepresentation
bin11001001101011010000000…
…00011110110100111110100
321021021122120022201120120000
430212231000003312213310
524231231333204011320
6313523014035511300
714451064103102565
oct1446550003664764
9237248508646500
1055436217641460
1116733405704037
126273ab1158530
1324c17c76a9446
14d991ad26216c
1566205367cc90
hex326b400f69f4

55436217641460 has 120 divisors (see below), whose sum is σ = 183058387401120. Its totient is φ = 14004939185856.

The previous prime is 55436217641449. The next prime is 55436217641527. The reversal of 55436217641460 is 6414671263455.

55436217641460 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 6 + 2 + 176 + 4 + 1 + 460 = 666.

It is a super-2 number, since 2×554362176414602 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55436217641397 and 55436217641406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 900492574 + ... + 900554133.

It is an arithmetic number, because the mean of its divisors is an integer number (1525486561676).

Almost surely, 255436217641460 is an apocalyptic number.

It is an amenable number.

55436217641460 is an abundant number, since it is smaller than the sum of its proper divisors (127622169759660).

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

55436217641460 is a wasteful number, since it uses less digits than its factorization.

55436217641460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801046747 (or 1801046736 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 55436217641460 in words is "fifty-five trillion, four hundred thirty-six billion, two hundred seventeen million, six hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 1801046707 3602093414 5403140121 7204186828 9005233535 10806280242 16209420363 18010467070 21612560484 27015700605 32418840726 34219887433 36020934140 48628261089 54031401210 64837681452 68439774866 81047101815 97256522178 102659662299 108062802420 136879549732 145884783267 162094203630 171099437165 194513044356 205319324598 243141305445 291769566534 307978986897 324188407260 342198874330 410638649196 486282610890 513298311495 583539133068 615957973794 684397748660 729423916335 923936960691 972565221780 1026596622990 1231915947588 1458847832670 1539894934485 1847873921382 2053193245980 2771810882073 2917695665340 3079789868970 3695747842764 4619684803455 5543621764146 6159579737940 9239369606910 11087243528292 13859054410365 18478739213820 27718108820730 55436217641460