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221535201257376 = 2532987790734807
BaseRepresentation
bin110010010111110000101110…
…111110011110011110100000
31002001101120002002002212002220
4302113300232332132132200
5213014113043010214001
62103055511054311040
764443250543613466
oct6227605676363640
91061346062085086
10221535201257376
1164651607776416
1220a1b00a7b8480
13967c8ab7b7596
143c9c50a646836
151a9298b856c36
hexc97c2ef9e7a0

221535201257376 has 96 divisors (see below), whose sum is σ = 602268620365440. Its totient is φ = 71217386290176.

The previous prime is 221535201257339. The next prime is 221535201257423. The reversal of 221535201257376 is 673752102535122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2215352012573762 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42925836 + ... + 47808971.

It is an arithmetic number, because the mean of its divisors is an integer number (6273631462140).

Almost surely, 2221535201257376 is an apocalyptic number.

It is an amenable number.

221535201257376 is an abundant number, since it is smaller than the sum of its proper divisors (380733419108064).

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

221535201257376 is a wasteful number, since it uses less digits than its factorization.

221535201257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90735726 (or 90735718 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 51.

The spelling of 221535201257376 in words is "two hundred twenty-one trillion, five hundred thirty-five billion, two hundred one million, two hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 877 928 1392 1754 2631 2784 3508 5262 7016 10524 14032 21048 25433 28064 42096 50866 76299 84192 101732 152598 203464 305196 406928 610392 813856 1220784 2441568 90734807 181469614 272204421 362939228 544408842 725878456 1088817684 1451756912 2177635368 2631309403 2903513824 4355270736 5262618806 7893928209 8710541472 10525237612 15787856418 21050475224 31575712836 42100950448 63151425672 79574425739 84201900896 126302851344 159148851478 238723277217 252605702688 318297702956 477446554434 636595405912 954893108868 1273190811824 1909786217736 2307658346431 2546381623648 3819572435472 4615316692862 6922975039293 7639144870944 9230633385724 13845950078586 18461266771448 27691900157172 36922533542896 55383800314344 73845067085792 110767600628688 221535201257376