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642633163056 = 243217599438253
BaseRepresentation
bin10010101100111111110…
…10111110000100110000
32021102202012200010122100
421112133322332010300
541012103042204211
61211115510540400
764300022521023
oct11263772760460
92242665603570
10642633163056
112285a2737a55
12a4668667700
13487a53c4601
14231644471ba
1511ab2ad6156
hex959febe130

642633163056 has 120 divisors (see below), whose sum is σ = 1907456709600. Its totient is φ = 201273366528.

The previous prime is 642633163043. The next prime is 642633163087. The reversal of 642633163056 is 650361336246.

642633163056 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 3 + 3 + 1 + 630 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247226 + ... + 1685478.

It is an arithmetic number, because the mean of its divisors is an integer number (15895472580).

Almost surely, 2642633163056 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 642633163056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953728354800).

642633163056 is an abundant number, since it is smaller than the sum of its proper divisors (1264823546544).

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

642633163056 is a wasteful number, since it uses less digits than its factorization.

642633163056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438883 (or 438874 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 642633163056 in words is "six hundred forty-two billion, six hundred thirty-three million, one hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 599 612 816 1198 1224 1797 2396 2448 3594 4792 5391 7188 9584 10183 10782 14376 20366 21564 28752 30549 40732 43128 61098 81464 86256 91647 122196 162928 183294 244392 366588 438253 488784 733176 876506 1314759 1466352 1753012 2629518 3506024 3944277 5259036 7012048 7450301 7888554 10518072 14900602 15777108 21036144 22350903 29801204 31554216 44701806 59602408 63108432 67052709 89403612 119204816 134105418 178807224 262513547 268210836 357614448 525027094 536421672 787540641 1050054188 1072843344 1575081282 2100108376 2362621923 3150162564 4200216752 4462730299 4725243846 6300325128 8925460598 9450487692 12600650256 13388190897 17850921196 18900975384 26776381794 35701842392 37801950768 40164572691 53552763588 71403684784 80329145382 107105527176 160658290764 214211054352 321316581528 642633163056