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216312428835 = 325311675571667
BaseRepresentation
bin1100100101110100111…
…0011011100100100011
3202200100011222221002100
43021131032123210203
512021001440210320
6243212250021443
721425265210366
oct3113516334443
9680304887070
10216312428835
11838127aa448
1235b0a717883
1317523a35429
14a6807400dd
1559605d1790
hex325d39b923

216312428835 has 96 divisors (see below), whose sum is σ = 390287020032. Its totient is φ = 110710897920.

The previous prime is 216312428833. The next prime is 216312428887. The reversal of 216312428835 is 538824213612.

216312428835 is a `hidden beast` number, since 2 + 1 + 631 + 2 + 4 + 2 + 8 + 8 + 3 + 5 = 666.

It is a Cunningham number, because it is equal to 4650942-1.

It is not a de Polignac number, because 216312428835 - 21 = 216312428833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (216312428831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129760672 + ... + 129762338.

It is an arithmetic number, because the mean of its divisors is an integer number (4065489792).

Almost surely, 2216312428835 is an apocalyptic number.

216312428835 is a deficient number, since it is larger than the sum of its proper divisors (173974591197).

216312428835 is a wasteful number, since it uses less digits than its factorization.

216312428835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2430 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 216312428835 in words is "two hundred sixteen billion, three hundred twelve million, four hundred twenty-eight thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 31 45 93 155 167 279 465 501 557 835 1395 1503 1667 1671 2505 2785 5001 5013 5177 7515 8335 8355 15003 15531 17267 25005 25065 25885 46593 51677 51801 75015 77655 86335 93019 155031 155403 232965 258385 259005 278389 279057 465093 465095 775155 777015 835167 837171 928519 1391945 1395285 2325465 2505501 2785557 2883589 4175835 4185855 4642595 8356671 8630059 8650767 12527505 13927785 14417945 25890177 25952301 28784089 41783355 43150295 43253835 77670531 86352267 129450885 129761505 143920445 155062673 259056801 388352655 431761335 465188019 775313365 1295284005 1395564057 2325940095 4806942863 6977820285 14420828589 24034714315 43262485767 72104142945 216312428835