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235068353568 = 25321444956489
BaseRepresentation
bin1101101011101100101…
…0100110110000100000
3211110202022120121220100
43122323022212300200
512322404444303233
6255553334342400
722661133015606
oct3327312466040
9743668517810
10235068353568
1190767a59294
1239683abaa00
1319222756149
14b53d701876
1561ac007813
hex36bb2a6c20

235068353568 has 72 divisors (see below), whose sum is σ = 668533729500. Its totient is φ = 78349307904.

The previous prime is 235068353549. The next prime is 235068353591. The reversal of 235068353568 is 865353860532.

235068353568 is a `hidden beast` number, since 2 + 3 + 506 + 83 + 5 + 3 + 56 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223664676624 + 11403676944 = 472932^2 + 106788^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4133068 + ... + 4189556.

Almost surely, 2235068353568 is an apocalyptic number.

It is an amenable number.

235068353568 is an abundant number, since it is smaller than the sum of its proper divisors (433465375932).

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

235068353568 is a wasteful number, since it uses less digits than its factorization.

235068353568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70954 (or 70943 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 235068353568 in words is "two hundred thirty-five billion, sixty-eight million, three hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14449 28898 43347 56489 57796 86694 112978 115592 130041 169467 173388 225956 231184 260082 338934 346776 451912 462368 508401 520164 677868 693552 903824 1016802 1040328 1355736 1387104 1807648 2033604 2080656 2711472 4067208 4161312 5422944 8134416 16268832 816209561 1632419122 2448628683 3264838244 4897257366 6529676488 7345886049 9794514732 13059352976 14691772098 19589029464 26118705952 29383544196 39178058928 58767088392 78356117856 117534176784 235068353568