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52344544544325 = 33521152113531229
BaseRepresentation
bin10111110011011011010011…
…11110111100011001000101
320212100002102022100110012000
423321231221332330121011
523330103111400404300
6303154430215415513
714011524416265645
oct1371555176743105
9225302368313160
1052344544544325
1115751218859670
125a54882084599
1323290b953a087
14ccd6bd18a525
1560b905c6ec00
hex2f9b69fbc645

52344544544325 has 96 divisors (see below), whose sum is σ = 105101934652800. Its totient is φ = 25330458816000.

The previous prime is 52344544544297. The next prime is 52344544544437.

52344544544325 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 4 + 544 + 54 + 43 + 2 + 5 = 666.

52344544544325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52344544544325 - 214 = 52344544527941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2897190 + ... + 10634039.

It is an arithmetic number, because the mean of its divisors is an integer number (1094811819300).

Almost surely, 252344544544325 is an apocalyptic number.

52344544544325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52344544544325 is an abundant number, since it is smaller than the sum of its proper divisors (52757390108475).

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

52344544544325 is a wasteful number, since it uses less digits than its factorization.

52344544544325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531780 (or 13531769 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 54.

It can be divided in two parts, 5234454 and 4544325, that added together give a palindrome (9778779).

The spelling of 52344544544325 in words is "fifty-two trillion, three hundred forty-four billion, five hundred forty-four million, five hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 521 675 825 1485 1563 2475 2605 4689 5731 7425 7815 13025 14067 17193 23445 28655 39075 51579 70335 85965 117225 143275 154737 257895 351675 429825 773685 1289475 3868425 13531229 40593687 67656145 121781061 148843519 202968435 338280725 365343183 446530557 608905305 744217595 1014842175 1339591671 1826715915 2232652785 3044526525 3721087975 4018775013 6697958355 7049770309 9133579575 11163263925 20093875065 21149310927 33489791775 35248851545 63447932781 77547473399 100469375325 105746554635 176244257725 190343798343 232642420197 317239663905 387737366995 528732773175 697927260591 951718991715 1163212100985 1586198319525 1938686834975 2093781781773 3489636302955 4758594958575 5816060504925 10468908908865 17448181514775 52344544544325