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216398653128 = 23327429362407
BaseRepresentation
bin1100100110001001011…
…1010110011011001000
3202200120012020120120200
43021202113112123020
512021141023400003
6243225010052200
721430363126230
oct3114227263310
9680505216520
10216398653128
1183857441a99
1235b3357a060
1317538864918
14a68bd86cc0
155967e646a3
hex32625d66c8

216398653128 has 48 divisors (see below), whose sum is σ = 669805356480. Its totient is φ = 61828186464.

The previous prime is 216398653111. The next prime is 216398653147. The reversal of 216398653128 is 821356893612.

216398653128 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 9 + 86 + 531 + 28 = 666.

It is a super-2 number, since 2×2163986531282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214680700 + ... + 214681707.

It is an arithmetic number, because the mean of its divisors is an integer number (13954278260).

Almost surely, 2216398653128 is an apocalyptic number.

216398653128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216398653128 is an abundant number, since it is smaller than the sum of its proper divisors (453406703352).

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

216398653128 is a wasteful number, since it uses less digits than its factorization.

216398653128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429362426 (or 429362419 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 216398653128 in words is "two hundred sixteen billion, three hundred ninety-eight million, six hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 429362407 858724814 1288087221 1717449628 2576174442 3005536849 3434899256 3864261663 5152348884 6011073698 7728523326 9016610547 10304697768 12022147396 15457046652 18033221094 24044294792 27049831641 30914093304 36066442188 54099663282 72132884376 108199326564 216398653128