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29805195264 = 212313186581
BaseRepresentation
bin11011110000100001…
…110011000000000000
32211221011201210111220
4123300201303000000
5442020112222024
621405312435040
72103412660005
oct336041630000
984834653456
1029805195264
111170528a389
125939848a80
132a6cc09720
14162a6198ac
15b96998e79
hex6f0873000

29805195264 has 104 divisors (see below), whose sum is σ = 85584417072. Its totient is φ = 9170780160.

The previous prime is 29805195263. The next prime is 29805195283. The reversal of 29805195264 is 46259150892.

It is a tau number, because it is divible by the number of its divisors (104).

It is not an unprimeable number, because it can be changed into a prime (29805195263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66454 + ... + 253034.

Almost surely, 229805195264 is an apocalyptic number.

29805195264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29805195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42792208536).

29805195264 is an abundant number, since it is smaller than the sum of its proper divisors (55779221808).

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

29805195264 is a wasteful number, since it uses less digits than its factorization.

29805195264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186621 (or 186599 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 29805195264 in words is "twenty-nine billion, eight hundred five million, one hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 39936 53248 79872 159744 186581 373162 559743 746324 1119486 1492648 2238972 2425553 2985296 4477944 4851106 5970592 7276659 8955888 9702212 11941184 14553318 17911776 19404424 23882368 29106636 35823552 38808848 47764736 58213272 71647104 77617696 95529472 116426544 143294208 155235392 191058944 232853088 286588416 310470784 382117888 465706176 573176832 620941568 764235776 931412352 1146353664 1241883136 1862824704 2292707328 2483766272 3725649408 4967532544 7451298816 9935065088 14902597632 29805195264