Search a number
-
+
234512559695808 = 263445237762287
BaseRepresentation
bin110101010100100110110101…
…110100001110011111000000
31010202100011220111111212220000
4311110212311310032133000
5221214223210240231213
62150433325503520000
7100252654563366462
oct6524466564163700
91122304814455800
10234512559695808
11687a5244244859
12223761318b9000
13a0b1593732894
1441ca67b606132
151c1a3233d2c73
hexd549b5d0e7c0

234512559695808 has 70 divisors (see below), whose sum is σ = 695168693079696. Its totient is φ = 78170853230208.

The previous prime is 234512559695797. The next prime is 234512559695861. The reversal of 234512559695808 is 808596955215432.

234512559695808 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 1 + 2 + 559 + 69 + 5 + 8 + 0 + 8 = 666.

234512559695808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2345125596958082 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22618875960 + ... + 22618886327.

Almost surely, 2234512559695808 is an apocalyptic number.

It is an amenable number.

234512559695808 is an abundant number, since it is smaller than the sum of its proper divisors (460656133383888).

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

234512559695808 is an equidigital number, since it uses as much as digits as its factorization.

234512559695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45237762311 (or 45237762292 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 234512559695808 in words is "two hundred thirty-four trillion, five hundred twelve billion, five hundred fifty-nine million, six hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 45237762287 90475524574 135713286861 180951049148 271426573722 361902098296 407139860583 542853147444 723804196592 814279721166 1085706294888 1221419581749 1447608393184 1628559442332 2171412589776 2442839163498 2895216786368 3257118884664 3664258745247 4342825179552 4885678326996 6514237769328 7328517490494 8685650359104 9771356653992 13028475538656 14657034980988 19542713307984 26056951077312 29314069961976 39085426615968 58628139923952 78170853231936 117256279847904 234512559695808