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52517917632 = 2631994115299
BaseRepresentation
bin110000111010010011…
…111101001111000000
312000120001201122021110
4300322103331033000
51330024041331012
640043145123320
73536304635325
oct607223751700
9160501648243
1052517917632
11202aaaa4914
12a218189540
134c4c60380b
142782cc6b4c
15157595e73c
hexc3a4fd3c0

52517917632 has 112 divisors (see below), whose sum is σ = 146432016000. Its totient is φ = 16565898240.

The previous prime is 52517917601. The next prime is 52517917657. The reversal of 52517917632 is 23671971525.

52517917632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3425119 + ... + 3440417.

Almost surely, 252517917632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52517917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73216008000).

52517917632 is an abundant number, since it is smaller than the sum of its proper divisors (93914098368).

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

52517917632 is a wasteful number, since it uses less digits than its factorization.

52517917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16274 (or 16264 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The spelling of 52517917632 in words is "fifty-two billion, five hundred seventeen million, nine hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 941 1216 1824 1882 2823 3648 3764 5646 7528 11292 15056 15299 17879 22584 30112 30598 35758 45168 45897 53637 60224 61196 71516 90336 91794 107274 122392 143032 180672 183588 214548 244784 286064 290681 367176 429096 489568 572128 581362 734352 858192 872043 979136 1144256 1162724 1468704 1716384 1744086 2325448 2937408 3432768 3488172 4650896 6976344 9301792 13952688 14396359 18603584 27905376 28792718 43189077 55810752 57585436 86378154 115170872 172756308 230341744 273530821 345512616 460683488 547061642 691025232 820592463 921366976 1094123284 1382050464 1641184926 2188246568 2764100928 3282369852 4376493136 6564739704 8752986272 13129479408 17505972544 26258958816 52517917632