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63934133904 = 243219211092
BaseRepresentation
bin111011100010110001…
…010111011010010000
320010000200100111220100
4323202301113122100
52021414114241104
645212042212400
74422230112564
oct734261273220
9203020314810
1063934133904
11251291740a3
12104834b4100
13604b829884
14314717d6a4
1519e2d17139
hexee2c57690

63934133904 has 135 divisors (see below), whose sum is σ = 189010051113. Its totient is φ = 20171521152.

The previous prime is 63934133891. The next prime is 63934133911. The reversal of 63934133904 is 40933143936.

The square root of 63934133904 is 252852.

It is a perfect power (a square), and thus also a powerful number.

63934133904 is a `hidden beast` number, since 63 + 93 + 413 + 3 + 90 + 4 = 666.

63934133904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1033493904 + 62900640000 = 32148^2 + 250800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63934133904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57649702 + ... + 57650810.

Almost surely, 263934133904 is an apocalyptic number.

63934133904 is the 252852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63934133904

63934133904 is an abundant number, since it is smaller than the sum of its proper divisors (125075917209).

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

63934133904 is a wasteful number, since it uses less digits than its factorization.

63934133904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 63934133904 in words is "sixty-three billion, nine hundred thirty-four million, one hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1109 1368 1444 2166 2218 2736 2888 3249 3327 4332 4436 5776 6498 6654 8664 8872 9981 12996 13308 17328 17744 19962 21071 25992 26616 39924 42142 51984 53232 63213 79848 84284 126426 159696 168568 189639 252852 337136 379278 400349 505704 758556 800698 1011408 1201047 1229881 1517112 1601396 2402094 2459762 3034224 3202792 3603141 3689643 4804188 4919524 6405584 7206282 7379286 9608376 9839048 11068929 14412564 14758572 19216752 19678096 22137858 23367739 28825128 29517144 44275716 46735478 57650256 59034288 70103217 88551432 93470956 140206434 177102864 186941912 210309651 280412868 373883824 420619302 443987041 560825736 841238604 887974082 1121651472 1331961123 1682477208 1775948164 2663922246 3364954416 3551896328 3995883369 5327844492 7103792656 7991766738 10655688984 15983533476 21311377968 31967066952 63934133904