Search a number
-
+
52314576768 = 2732231974433
BaseRepresentation
bin110000101110001100…
…010001011110000000
312000000220002212001100
4300232030101132000
51324120012424033
640011042534400
73531255364656
oct605614213600
9160026085040
1052314576768
112020623a913
12a180067400
134c1944998c
142763cb4dd6
151562b95513
hexc2e311780

52314576768 has 96 divisors (see below), whose sum is σ = 157085969040. Its totient is φ = 16680001536.

The previous prime is 52314576757. The next prime is 52314576773. The reversal of 52314576768 is 86767541325.

52314576768 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 4 + 576 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×523145767683 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 960721 + ... + 1013712.

Almost surely, 252314576768 is an apocalyptic number.

It is an amenable number.

52314576768 is an abundant number, since it is smaller than the sum of its proper divisors (104771392272).

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

52314576768 is a wasteful number, since it uses less digits than its factorization.

52314576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974476 (or 1974461 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 52314576768 in words is "fifty-two billion, three hundred fourteen million, five hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 1974433 3948866 5923299 7897732 11846598 15795464 17769897 23693196 31590928 35539794 45411959 47386392 63181856 71079588 90823918 94772784 126363712 136235877 142159176 181647836 189545568 252727424 272471754 284318352 363295672 379091136 408707631 544943508 568636704 726591344 758182272 817415262 1089887016 1137273408 1453182688 1634830524 2179774032 2274546816 2906365376 3269661048 4359548064 5812730752 6539322096 8719096128 13078644192 17438192256 26157288384 52314576768