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21216404165096 = 2372296173024841
BaseRepresentation
bin1001101001011110101000…
…01110111101000111101000
32210010021020200111112201102
410310233110032331013220
510240102143431240341
6113042403112540532
74316556162565100
oct464572416750750
983107220445642
1021216404165096
11683a91004a168
122467a6a9b1748
13bab9102c3cba
14534c45284200
1526bd49c9ec9b
hex134bd43bd1e8

21216404165096 has 96 divisors (see below), whose sum is σ = 47948887931400. Its totient is φ = 8764969973760.

The previous prime is 21216404165053. The next prime is 21216404165101. The reversal of 21216404165096 is 69056140461212.

It can be written as a sum of positive squares in 4 ways, for example, as 13763580604900 + 7452823560196 = 3709930^2 + 2729986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21216404165096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501636 + ... + 8526476.

Almost surely, 221216404165096 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 21216404165096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974443965700).

21216404165096 is an abundant number, since it is smaller than the sum of its proper divisors (26732483766304).

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

21216404165096 is a wasteful number, since it uses less digits than its factorization.

21216404165096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025507 (or 3025496 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 21216404165096 in words is "twenty-one trillion, two hundred sixteen billion, four hundred four million, one hundred sixty-five thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 617 812 1234 1421 1624 2468 2842 4319 4936 5684 8638 11368 17276 17893 30233 34552 35786 60466 71572 120932 125251 143144 241864 250502 501004 876757 1002008 1753514 3024841 3507028 6049682 7014056 12099364 21173887 24198728 42347774 84695548 87720389 148217209 169391096 175440778 296434418 350881556 592868836 614042723 701763112 1185737672 1228085446 1866326897 2456170892 3732653794 4298299061 4912341784 7465307588 8596598122 13064288279 14930615176 17193196244 26128576558 34386392488 52257153116 54123480013 91450017953 104514306232 108246960026 182900035906 216493920052 365800071812 378864360091 432987840104 731600143624 757728720182 1515457440364 2652050520637 3030914880728 5304101041274 10608202082548 21216404165096