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345542335252520 = 23572441505563199
BaseRepresentation
bin100111010010001001101100…
…0001001011100100000101000
31200022110112011110110002112212
41032210103120021130200220
5330242331200311040040
63222523542443424252
7132532416122063540
oct11644233011344050
91608415143402485
10345542335252520
11a0111754a8634a
1232908504b25088
1311aa666b9cc983
1461484a4292320
1529e35383edd65
hex13a44d825c828

345542335252520 has 64 divisors (see below), whose sum is σ = 888901440768000. Its totient is φ = 118423123499520.

The previous prime is 345542335252381. The next prime is 345542335252567. The reversal of 345542335252520 is 25252533245543.

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, 252098120 + ... + 253465079.

It is an arithmetic number, because the mean of its divisors is an integer number (13889085012000).

Almost surely, 2345542335252520 is an apocalyptic number.

It is an amenable number.

345542335252520 is an abundant number, since it is smaller than the sum of its proper divisors (543359105515480).

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

345542335252520 is a wasteful number, since it uses less digits than its factorization.

345542335252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505565658 (or 505565654 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 50.

The spelling of 345542335252520 in words is "three hundred forty-five trillion, five hundred forty-two billion, three hundred thirty-five million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2441 4882 9764 12205 17087 19528 24410 34174 48820 68348 85435 97640 136696 170870 341740 683480 505563199 1011126398 2022252796 2527815995 3538942393 4044505592 5055631990 7077884786 10111263980 14155769572 17694711965 20222527960 28311539144 35389423930 70778847860 141557695720 1234079768759 2468159537518 4936319075036 6170398843795 8638558381313 9872638150072 12340797687590 17277116762626 24681595375180 34554233525252 43192791906565 49363190750360 69108467050504 86385583813130 172771167626260 345542335252520