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234125263321632 = 25321735394684451
BaseRepresentation
bin110101001110111110001001…
…001001110011101000100000
31010200222011020011001120102100
4311032332021021303220200
5221141402014402243012
62145535354450250400
7100212664165464444
oct6516761111635040
91120864204046370
10234125263321632
1168665a6a56a581
1222313064b86a00
13a083bc0c678c7
1441b5a1a6a0824
151c10206de68dc
hexd4ef89273a20

234125263321632 has 72 divisors (see below), whose sum is σ = 665797696265520. Its totient is φ = 78041288073600.

The previous prime is 234125263321571. The next prime is 234125263321637. The reversal of 234125263321632 is 236123362521432.

234125263321632 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 2 + 5 + 2 + 6 + 3 + 3 + 2 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (234125263321637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47637007 + ... + 52321457.

It is an arithmetic number, because the mean of its divisors is an integer number (9247190225910).

Almost surely, 2234125263321632 is an apocalyptic number.

It is an amenable number.

234125263321632 is an abundant number, since it is smaller than the sum of its proper divisors (431672432943888).

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

234125263321632 is a wasteful number, since it uses less digits than its factorization.

234125263321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858006 (or 4857995 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 234125263321632 in words is "two hundred thirty-four trillion, one hundred twenty-five billion, two hundred sixty-three million, three hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 173539 347078 520617 694156 1041234 1388312 1561851 2082468 2776624 3123702 4164936 4684451 5553248 6247404 8329872 9368902 12494808 14053353 16659744 18737804 24989616 28106706 37475608 42160059 49979232 56213412 74951216 84320118 112426824 149902432 168640236 224853648 337280472 449707296 674560944 1349121888 812934942089 1625869884178 2438804826267 3251739768356 4877609652534 6503479536712 7316414478801 9755219305068 13006959073424 14632828957602 19510438610136 26013918146848 29265657915204 39020877220272 58531315830408 78041754440544 117062631660816 234125263321632