Search a number
-
+
230153516039936 = 282383470946659
BaseRepresentation
bin110100010101001011001010…
…100100010011111100000000
31010011220110110020211122222102
4310111023022210103330000
5220131313400101234221
62133255022102125532
766323020452561416
oct6425131244237400
91104813406748872
10230153516039936
1167374615795385
1221991362a208a8
139b564ca541988
1440b96bd6d72b6
151b91c4b47230b
hexd152ca913f00

230153516039936 has 72 divisors (see below), whose sum is σ = 485157946412160. Its totient is φ = 108747234692096.

The previous prime is 230153516039929. The next prime is 230153516039947. The reversal of 230153516039936 is 639930615351032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234984626 + ... + 235962033.

It is an arithmetic number, because the mean of its divisors is an integer number (6738304811280).

Almost surely, 2230153516039936 is an apocalyptic number.

It is an amenable number.

230153516039936 is an abundant number, since it is smaller than the sum of its proper divisors (255004430372224).

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

230153516039936 is an equidigital number, since it uses as much as digits as its factorization.

230153516039936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470946781 (or 470946767 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 56.

The spelling of 230153516039936 in words is "two hundred thirty trillion, one hundred fifty-three billion, five hundred sixteen million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 256 332 368 664 736 1328 1472 1909 2656 2944 3818 5312 5888 7636 10624 15272 21248 30544 61088 122176 244352 488704 470946659 941893318 1883786636 3767573272 7535146544 10831773157 15070293088 21663546314 30140586176 39088572697 43327092628 60281172352 78177145394 86654185256 120562344704 156354290788 173308370512 312708581576 346616741024 625417163152 693233482048 899037172031 1250834326304 1386466964096 1798074344062 2501668652608 2772933928192 3596148688124 5003337305216 7192297376248 10006674610432 14384594752496 28769189504992 57538379009984 115076758019968 230153516039936