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55064226006 = 23317429421
BaseRepresentation
bin110011010010000101…
…010110100011010110
312021010112001111201000
4303102011112203112
51400232420213011
641143545244130
73656354125026
oct632205264326
9167115044630
1055064226006
1121397357aa9
12a808a93646
135266cc7c6a
14294514da86
151674286356
hexcd21568d6

55064226006 has 160 divisors (see below), whose sum is σ = 134815327200. Its totient is φ = 16639741440.

The previous prime is 55064225999. The next prime is 55064226089. The reversal of 55064226006 is 60062246055.

55064226006 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 42 + 2 + 600 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130793676 + ... + 130794096.

It is an arithmetic number, because the mean of its divisors is an integer number (842595795).

Almost surely, 255064226006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55064226006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67407663600).

55064226006 is an abundant number, since it is smaller than the sum of its proper divisors (79751101194).

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

55064226006 is an equidigital number, since it uses as much as digits as its factorization.

55064226006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 55064226006 in words is "fifty-five billion, sixty-four million, two hundred twenty-six thousand, six".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 289 306 421 459 493 522 578 783 842 867 918 986 1263 1479 1566 1734 2526 2601 2958 3789 4437 4913 5202 7157 7578 7803 8381 8874 9826 11367 12209 13311 14314 14739 15606 16762 21471 22734 24418 25143 26622 29478 36627 42942 44217 50286 64413 73254 75429 83521 88434 109881 121669 128826 132651 142477 150858 167042 193239 207553 219762 226287 243338 250563 265302 284954 329643 365007 386478 415106 427431 452574 501126 622659 659286 730014 751689 854862 1095021 1245318 1282293 1503378 1867977 2068373 2190042 2255067 2422109 2564586 3285063 3528401 3735954 3846879 4136746 4510134 4844218 5603931 6205119 6570126 7056802 7266327 7693758 10585203 11207862 12410238 14532654 18615357 21170406 21798981 31755609 35162341 37230714 43597962 55846071 59982817 63511218 65396943 70324682 95266827 105487023 111692142 119965634 130793886 179948451 190533654 210974046 316461069 359896902 539845353 632922138 949383207 1019707889 1079690706 1619536059 1898766414 2039415778 3059123667 3239072118 6118247334 9177371001 18354742002 27532113003 55064226006