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10294724272 = 2471714993607
BaseRepresentation
bin10011001011001110…
…10000011010110000
3222120110100011211011
421211213100122300
5132040422134042
64421311400304
7513053466250
oct114547203260
928513304734
1010294724272
114403115798
121bb3823094
13c80a8bb31
146d9361960
15403bc8a17
hex2659d06b0

10294724272 has 80 divisors (see below), whose sum is σ = 24159168000. Its totient is φ = 4148573184.

The previous prime is 10294724269. The next prime is 10294724273. The reversal of 10294724272 is 27242749201.

It is not an unprimeable number, because it can be changed into a prime (10294724273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852293 + ... + 2855899.

It is an arithmetic number, because the mean of its divisors is an integer number (301989600).

Almost surely, 210294724272 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 10294724272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079584000).

10294724272 is an abundant number, since it is smaller than the sum of its proper divisors (13864443728).

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

10294724272 is a wasteful number, since it uses less digits than its factorization.

10294724272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 10294724272 in words is "ten billion, two hundred ninety-four million, seven hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1499 1904 2998 3607 5996 7214 10493 11992 14428 20986 23984 25249 25483 28856 41972 50498 50966 57712 61319 83944 100996 101932 122638 167888 178381 201992 203864 245276 356762 403984 407728 429233 490552 713524 858466 981104 1427048 1716932 2854096 3433864 5406893 6867728 10813786 21627572 37848251 43255144 75696502 86510288 91917181 151393004 183834362 302786008 367668724 605572016 643420267 735337448 1286840534 1470674896 2573681068 5147362136 10294724272