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52231705632 = 2534674
BaseRepresentation
bin110000101001010000…
…001001010000100000
311222211010011120020000
4300221100021100200
51323432304040012
635554522420000
73526231113111
oct605120112040
9158733146200
1052231705632
1120173488577
12a158361600
134c052227c2
142756ca2208
15155a775ddc
hexc29409420

52231705632 has 150 divisors (see below), whose sum is σ = 155939449743. Its totient is φ = 17150709312.

The previous prime is 52231705577. The next prime is 52231705637. The reversal of 52231705632 is 23650713225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

52231705632 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 17 + 0 + 5 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26115852816 + 26115852816 = 161604^2 + 161604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52231705637) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 779577663 + ... + 779577729.

Almost surely, 252231705632 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 52231705632

52231705632 is an abundant number, since it is smaller than the sum of its proper divisors (103707744111).

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

52231705632 is an frugal number, since it uses more digits than its factorization.

52231705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 52231705632 in words is "fifty-two billion, two hundred thirty-one million, seven hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 201 216 268 288 324 402 432 536 603 648 804 864 1072 1206 1296 1608 1809 2144 2412 2592 3216 3618 4489 4824 5427 6432 7236 8978 9648 10854 13467 14472 17956 19296 21708 26934 28944 35912 40401 43416 53868 57888 71824 80802 86832 107736 121203 143648 161604 173664 215472 242406 300763 323208 363609 430944 484812 601526 646416 727218 902289 969624 1203052 1292832 1454436 1804578 1939248 2406104 2706867 2908872 3609156 3878496 4812208 5413734 5817744 7218312 8120601 9624416 10827468 11635488 14436624 16241202 20151121 21654936 24361803 28873248 32482404 40302242 43309872 48723606 60453363 64964808 80604484 86619744 97447212 120906726 129929616 161208968 181360089 194894424 241813452 259859232 322417936 362720178 389788848 483626904 544080267 644835872 725440356 779577696 967253808 1088160534 1450880712 1632240801 1934507616 2176321068 2901761424 3264481602 4352642136 5803522848 6528963204 8705284272 13057926408 17410568544 26115852816 52231705632