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213892964712 = 23337141463601
BaseRepresentation
bin1100011100110100000…
…0111010000101101000
3202110002120100102021000
43013031000322011220
512001023044332322
6242132220315000
721311316126210
oct3071500720550
9673076312230
10213892964712
1182791003219
12355543a2a60
13172296c325b
14a4d1295240
15586ceb33ac
hex31cd03a168

213892964712 has 64 divisors (see below), whose sum is σ = 679025289600. Its totient is φ = 61112275200.

The previous prime is 213892964711. The next prime is 213892964723. The reversal of 213892964712 is 217469298312.

213892964712 is a `hidden beast` number, since 2 + 1 + 3 + 89 + 2 + 96 + 471 + 2 = 666.

It is a super-5 number, since 5×2138929647125 (a number of 58 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213892964711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70730289 + ... + 70733312.

It is an arithmetic number, because the mean of its divisors is an integer number (10609770150).

Almost surely, 2213892964712 is an apocalyptic number.

It is an amenable number.

213892964712 is an abundant number, since it is smaller than the sum of its proper divisors (465132324888).

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

213892964712 is a wasteful number, since it uses less digits than its factorization.

213892964712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141463623 (or 141463613 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 213892964712 in words is "two hundred thirteen billion, eight hundred ninety-two million, nine hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 141463601 282927202 424390803 565854404 848781606 990245207 1131708808 1273172409 1697563212 1980490414 2546344818 2970735621 3395126424 3819517227 3960980828 5092689636 5941471242 7639034454 7921961656 8912206863 10185379272 11882942484 15278068908 17824413726 23765884968 26736620589 30556137816 35648827452 53473241178 71297654904 106946482356 213892964712