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214602693656976 = 243212207772
BaseRepresentation
bin110000110010111000010101…
…010100101100000110010000
31001010211211001201000000112100
4300302320111110230012100
5211112022304034010401
62040231041053200400
763126350543360502
oct6062702524540620
91033754051000470
10214602693656976
1162419544985919
122009b533a90100
139298c40c458a1
143adcb7bd97d72
1519c249653ab86
hexc32e1552c190

214602693656976 has 45 divisors (see below), whose sum is σ = 600589974916321. Its totient is φ = 71534172621696.

The previous prime is 214602693656957. The next prime is 214602693657007. The reversal of 214602693656976 is 679656396206412.

The square root of 214602693656976 is 14649324.

It is a perfect power (a square), and thus also a powerful number.

214602693656976 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 0 + 26 + 9 + 36 + 569 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172588651290000 + 42014042366976 = 13137300^2 + 6481824^2 .

It is a super-2 number, since 2×2146026936569762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 175181500 + ... + 176402276.

Almost surely, 2214602693656976 is an apocalyptic number.

214602693656976 is the 14649324-th square number.

It is an amenable number.

214602693656976 is an abundant number, since it is smaller than the sum of its proper divisors (385987281259345).

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

214602693656976 is an frugal number, since it uses more digits than its factorization.

214602693656976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441568 (or 1220782 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 214602693656976 in words is "two hundred fourteen trillion, six hundred two billion, six hundred ninety-three million, six hundred fifty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1220777 2441554 3662331 4883108 7324662 9766216 10986993 14649324 19532432 21973986 29298648 43947972 58597296 87895944 175791888 1490296483729 2980592967458 4470889451187 5961185934916 8941778902374 11922371869832 13412668353561 17883557804748 23844743739664 26825336707122 35767115609496 53650673414244 71534231218992 107301346828488 214602693656976