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211025213568 = 27321314090893
BaseRepresentation
bin1100010010001000010…
…1010011100010000000
3202011200201011120020200
43010202011103202000
511424134423313233
6240535454405200
721150254501541
oct3044205234200
9664621146220
10211025213568
118154a260354
1234a93b00800
1316b90533ca0
14a2dc4764c8
155751344313
hex3122153880

211025213568 has 96 divisors (see below), whose sum is σ = 653958390540. Its totient is φ = 64930830336.

The previous prime is 211025213563. The next prime is 211025213579. The reversal of 211025213568 is 865312520112.

211025213568 is a `hidden beast` number, since 21 + 10 + 2 + 52 + 13 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201356817984 + 9668395584 = 448728^2 + 98328^2 .

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

It is a super-2 number, since 2×2110252135682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (211025213563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7030471 + ... + 7060422.

Almost surely, 2211025213568 is an apocalyptic number.

It is an amenable number.

211025213568 is an abundant number, since it is smaller than the sum of its proper divisors (442933176972).

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

211025213568 is a wasteful number, since it uses less digits than its factorization.

211025213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090926 (or 14090911 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 211025213568 in words is "two hundred eleven billion, twenty-five million, two hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 14090893 28181786 42272679 56363572 84545358 112727144 126818037 169090716 183181609 225454288 253636074 338181432 366363218 450908576 507272148 549544827 676362864 732726436 901817152 1014544296 1099089654 1352725728 1465452872 1648634481 1803634304 2029088592 2198179308 2705451456 2930905744 3297268962 4058177184 4396358616 5410902912 5861811488 6594537924 8116354368 8792717232 11723622976 13189075848 16232708736 17585434464 23447245952 26378151696 35170868928 52756303392 70341737856 105512606784 211025213568