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3432381257856 = 27382153108803
BaseRepresentation
bin110001111100101001110…
…111011001100010000000
3110011010120112212222111110
4301330221313121202000
5422214004100222411
611144451510243320
7502660415210505
oct61745167314200
913133515788443
103432381257856
111103734813401
12475275656540
131bb897989245
14bc1b18854ac
155e43dd392a6
hex31f29dd9880

3432381257856 has 64 divisors (see below), whose sum is σ = 9117457492320. Its totient is φ = 1144102643712.

The previous prime is 3432381257839. The next prime is 3432381257881. The reversal of 3432381257856 is 6587521832343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34323812578562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3432381257796 and 3432381257805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31492351 + ... + 31601153.

Almost surely, 23432381257856 is an apocalyptic number.

It is an amenable number.

3432381257856 is an abundant number, since it is smaller than the sum of its proper divisors (5685076234464).

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

3432381257856 is a wasteful number, since it uses less digits than its factorization.

3432381257856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190973 (or 190961 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 3432381257856 in words is "three trillion, four hundred thirty-two billion, three hundred eighty-one million, two hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 82153 108803 164306 217606 246459 326409 328612 435212 492918 652818 657224 870424 985836 1305636 1314448 1740848 1971672 2611272 2628896 3481696 3943344 5222544 5257792 6963392 7886688 10445088 10515584 13926784 15773376 20890176 31546752 41780352 8938492859 17876985718 26815478577 35753971436 53630957154 71507942872 107261914308 143015885744 214523828616 286031771488 429047657232 572063542976 858095314464 1144127085952 1716190628928 3432381257856