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55035442141128 = 23324819715859517
BaseRepresentation
bin11001000001101111011111…
…11110101001011111001000
321012212100002120220201002200
430200313233332221133020
524203200041142004003
6313014533314000200
714410115363414631
oct1440675776513710
9235770076821080
1055035442141128
1116599444354879
12620a2a2276060
132492a874b5787
14d83a300b0888
156568e8b4b6a3
hex320deffa97c8

55035442141128 has 48 divisors (see below), whose sum is σ = 149057424469980. Its totient is φ = 18344765595264.

The previous prime is 55035442141117. The next prime is 55035442141129. The reversal of 55035442141128 is 82114124453055.

55035442141128 is a `hidden beast` number, since 5 + 50 + 3 + 5 + 442 + 141 + 12 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46521430118244 + 8514012022884 = 6820662^2 + 2917878^2 .

It is a super-2 number, since 2×550354421411282 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55035442141129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4459575 + ... + 11399942.

Almost surely, 255035442141128 is an apocalyptic number.

It is an amenable number.

55035442141128 is an abundant number, since it is smaller than the sum of its proper divisors (94021982328852).

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

55035442141128 is a wasteful number, since it uses less digits than its factorization.

55035442141128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907726 (or 15907719 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 55035442141128 in words is "fifty-five trillion, thirty-five billion, four hundred forty-two million, one hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 48197 96394 144591 192788 289182 385576 433773 578364 867546 1156728 1735092 3470184 15859517 31719034 47578551 63438068 95157102 126876136 142735653 190314204 285471306 380628408 570942612 1141885224 764381140849 1528762281698 2293143422547 3057524563396 4586286845094 6115049126792 6879430267641 9172573690188 13758860535282 18345147380376 27517721070564 55035442141128