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214236010624 = 2717472094767
BaseRepresentation
bin1100011110000101110…
…1100001100010000000
3202110222110211221210011
43013201131201202000
512002223404314444
6242230233114304
721322653021106
oct3074135414200
9673873757704
10214236010624
1182947708739
123562b258994
13172827b30bc
14a524a71c76
15588d176734
hex31e1761880

214236010624 has 64 divisors (see below), whose sum is σ = 461519285760. Its totient is φ = 98671857664.

The previous prime is 214236010619. The next prime is 214236010661. The reversal of 214236010624 is 426010632412.

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

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, 945112 + ... + 1149655.

It is an arithmetic number, because the mean of its divisors is an integer number (7211238840).

Almost surely, 2214236010624 is an apocalyptic number.

It is an amenable number.

214236010624 is an abundant number, since it is smaller than the sum of its proper divisors (247283275136).

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

214236010624 is a wasteful number, since it uses less digits than its factorization.

214236010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094845 (or 2094833 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 214236010624 in words is "two hundred fourteen billion, two hundred thirty-six million, ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 272 376 544 752 799 1088 1504 1598 2176 3008 3196 6016 6392 12784 25568 51136 102272 2094767 4189534 8379068 16758136 33516272 35611039 67032544 71222078 98454049 134065088 142444156 196908098 268130176 284888312 393816196 569776624 787632392 1139553248 1575264784 1673718833 2279106496 3150529568 3347437666 4558212992 6301059136 6694875332 12602118272 13389750664 26779501328 53559002656 107118005312 214236010624