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21900431220642 = 234132282832
BaseRepresentation
bin1001111101011000101110…
…11011000101111110100010
32212112122211201002021220000
410332230113123011332202
510332304040343030032
6114324530314400430
74420153046614332
oct476542733057642
985478751067800
1021900431220642
116a83a14532217
12255854a130116
13c2b28148b700
14559db505b0c2
1527ea31907e7c
hex13eb176c5fa2

21900431220642 has 90 divisors (see below), whose sum is σ = 53140301902017. Its totient is φ = 6738355965744.

The previous prime is 21900431220637. The next prime is 21900431220727. The reversal of 21900431220642 is 24602213400912.

It is a happy number.

21900431220642 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 0 + 4 + 3 + 1 + 2 + 2 + 0 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18725516635401 + 3174914585241 = 4327299^2 + 1781829^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3309111.

It is a junction number, because it is equal to n+sod(n) for n = 21900431220597 and 21900431220606.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 774317833 + ... + 774346115.

Almost surely, 221900431220642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21900431220642

21900431220642 is an abundant number, since it is smaller than the sum of its proper divisors (31239870681375).

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

21900431220642 is an frugal number, since it uses more digits than its factorization.

21900431220642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56606 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21900431220642 in words is "twenty-one trillion, nine hundred billion, four hundred thirty-one million, two hundred twenty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 28283 56566 84849 169698 254547 367679 509094 735358 763641 1103037 1527282 2206074 2290923 3309111 4581846 4779827 6618222 9559654 9927333 14339481 19854666 28678962 29781999 43018443 59563998 86036886 129055329 258110658 387165987 774331974 799928089 1599856178 2399784267 4799568534 7199352801 10399065157 14398705602 20798130314 21598058403 31197195471 43196116806 62394390942 64794175209 93591586413 129588350418 135187847041 187183172826 270375694082 280774759239 405563541123 561549518478 811127082246 842324277717 1216690623369 1684648555434 2433381246738 3650071870107 7300143740214 10950215610321 21900431220642