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216905100944 = 24713743332647
BaseRepresentation
bin1100101000000010001…
…1010010111010010000
3202201212111012210101012
43022000203102322100
512023210201212234
6243351141030052
721446052636410
oct3120043227220
9681774183335
10216905100944
1183a97302804
12360550b5328
13175b976679c
14a6d933a640
1559976530ce
hex32808d2e90

216905100944 has 80 divisors (see below), whose sum is σ = 484927795968. Its totient is φ = 92064854016.

The previous prime is 216905100943. The next prime is 216905100953. The reversal of 216905100944 is 449001509612.

It is a super-2 number, since 2×2169051009442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216905100943) 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, 6627629 + ... + 6660275.

Almost surely, 2216905100944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216905100944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242463897984).

216905100944 is an abundant number, since it is smaller than the sum of its proper divisors (268022695024).

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

216905100944 is a wasteful number, since it uses less digits than its factorization.

216905100944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33232 (or 33226 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 216905100944 in words is "two hundred sixteen billion, nine hundred five million, one hundred thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 433 548 866 959 1096 1732 1918 2192 3031 3464 3836 6062 6928 7672 12124 15344 24248 32647 48496 59321 65294 118642 130588 228529 237284 261176 415247 457058 474568 522352 830494 914116 949136 1660988 1828232 3321976 3656464 4472639 6643952 8945278 14136151 17890556 28272302 31308473 35781112 56544604 62616946 71562224 98953057 113089208 125233892 197906114 226178416 250467784 395812228 500935568 791624456 1583248912 1936652687 3873305374 7746610748 13556568809 15493221496 27113137618 30986442992 54226275236 108452550472 216905100944