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29896053408 = 25321343185699
BaseRepresentation
bin11011110101111100…
…011001001010100000
32212011111200212110100
4123311330121022200
5442211342202113
621422320102400
72105565155364
oct336574311240
985144625410
1029896053408
11117515a7461
125964164a00
132a8599c140
14163870b2a4
15b9e944d73
hex6f5f192a0

29896053408 has 144 divisors (see below), whose sum is σ = 93686392800. Its totient is φ = 8984812032.

The previous prime is 29896053373. The next prime is 29896053413. The reversal of 29896053408 is 80435069892.

29896053408 is a `hidden beast` number, since 29 + 8 + 9 + 605 + 3 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 68143 + ... + 253841.

It is an arithmetic number, because the mean of its divisors is an integer number (650599950).

Almost surely, 229896053408 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 29896053408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46843196400).

29896053408 is an abundant number, since it is smaller than the sum of its proper divisors (63790339392).

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

29896053408 is a wasteful number, since it uses less digits than its factorization.

29896053408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185771 (or 185760 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 29896053408 in words is "twenty-nine billion, eight hundred ninety-six million, fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 185699 371398 557097 742796 1114194 1485592 1671291 2228388 2414087 2971184 3342582 4456776 4828174 5942368 6685164 7242261 7985057 8913552 9656348 13370328 14484522 15970114 17827104 19312696 21726783 23955171 26740656 28969044 31940228 38625392 43453566 47910342 53481312 57938088 63880456 71865513 77250784 86907132 95820684 103805741 115876176 127760912 143731026 173814264 191641368 207611482 231752352 255521824 287462052 311417223 347628528 383282736 415222964 574924104 622834446 695257056 766565472 830445928 934251669 1149848208 1245668892 1660891856 1868503338 2299696416 2491337784 3321783712 3737006676 4982675568 7474013352 9965351136 14948026704 29896053408