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55193280091524 = 2232229254072
BaseRepresentation
bin11001000110010101011111…
…10110101001010110000100
321020102102111120212100121100
430203022233312221112010
524213241314200412044
6313215235353020100
714424403635022341
oct1443125766512604
9236372446770540
1055193280091524
111664a37a7a9083
1262349b19b4630
1324a491c84a6b3
14d8b5247c57c8
1565aa858b6869
hex3232afda9584

55193280091524 has 81 divisors (see below), whose sum is σ = 140154169905477. Its totient is φ = 18314032743648.

The previous prime is 55193280091517. The next prime is 55193280091559. The reversal of 55193280091524 is 42519008239155.

The square root of 55193280091524 is 7429218.

It is a perfect power (a square), and thus also a powerful number.

55193280091524 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 3 + 28 + 0 + 0 + 91 + 524 = 666.

55193280091524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51404339981124 + 3788940110400 = 7169682^2 + 1946520^2 .

It is a super-2 number, since 2×551932800915242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10207742829 + ... + 10207748235.

Almost surely, 255193280091524 is an apocalyptic number.

55193280091524 is the 7429218-th square number.

It is an amenable number.

55193280091524 is an abundant number, since it is smaller than the sum of its proper divisors (84960889813953).

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

55193280091524 is an frugal number, since it uses more digits than its factorization.

55193280091524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 55193280091524 in words is "fifty-five trillion, one hundred ninety-three billion, two hundred eighty million, ninety-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 5407 8244 10814 16221 21628 32442 48663 52441 64884 97326 104882 157323 194652 209764 314646 471969 629292 943938 1238203 1887876 2476406 3714609 4952812 7429218 11143827 14858436 22287654 29235649 44575308 58471298 87706947 116942596 175413894 263120841 283548487 350827788 526241682 567096974 850645461 1052483364 1134193948 1701290922 2551936383 3402581844 5103872766 6694963621 10207745532 13389927242 20084890863 26779854484 40169781726 60254672589 80339563452 120509345178 241018690356 1533146669209 3066293338418 4599440007627 6132586676836 9198880015254 13798320022881 18397760030508 27596640045762 55193280091524