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2121185735432 = 2317432129170371
BaseRepresentation
bin11110110111100000100…
…001011011001100001000
321111210011002012001200122
4132313200201123030020
5234223142022013212
64302243111522412
7306151650155051
oct36674041331410
97453132161618
102121185735432
11748654059545
122a3124989408
131250472ba22a
1474947491728
153a29c102272
hex1ede085b308

2121185735432 has 64 divisors (see below), whose sum is σ = 4311161236800. Its totient is φ = 974527303680.

The previous prime is 2121185735423. The next prime is 2121185735441. The reversal of 2121185735432 is 2345375811212.

It is an interprime number because it is at equal distance from previous prime (2121185735423) and next prime (2121185735441).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12365207 + ... + 12535577.

It is an arithmetic number, because the mean of its divisors is an integer number (67361894325).

Almost surely, 22121185735432 is an apocalyptic number.

It is an amenable number.

2121185735432 is an abundant number, since it is smaller than the sum of its proper divisors (2189975501368).

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

2121185735432 is a wasteful number, since it uses less digits than its factorization.

2121185735432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172566 (or 172562 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The spelling of 2121185735432 in words is "two trillion, one hundred twenty-one billion, one hundred eighty-five million, seven hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 34 43 68 86 136 172 344 731 1462 2129 2924 4258 5848 8516 17032 36193 72386 91547 144772 170371 183094 289544 340742 366188 681484 732376 1362968 1556299 2896307 3112598 5792614 6225196 7325953 11585228 12450392 14651906 23170456 29303812 58607624 124541201 249082402 362719859 498164804 725439718 996329608 1450879436 2901758872 6166237603 12332475206 15596953937 24664950412 31193907874 49329900824 62387815748 124775631496 265148216929 530296433858 1060592867716 2121185735432