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10100604928 = 216236701
BaseRepresentation
bin10010110100000101…
…10000000000000000
3222001221001220010211
421122002300000000
5131141223324203
64350135003504
7505205503531
oct113202600000
928057056124
1010100604928
114313589a87
121b5a809594
13c4c7b340b
146bb670688
153e1b31c6d
hex25a0b0000

10100604928 has 68 divisors (see below), whose sum is σ = 21082508208. Its totient is φ = 4830003200.

The previous prime is 10100604883. The next prime is 10100604929. The reversal of 10100604928 is 82940600101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100604928.

It is not an unprimeable number, because it can be changed into a prime (10100604929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503978 + ... + 1510678.

Almost surely, 210100604928 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 10100604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541254104).

10100604928 is an abundant number, since it is smaller than the sum of its proper divisors (10981903280).

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

10100604928 is an frugal number, since it uses more digits than its factorization.

10100604928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 10100604928 in words is "ten billion, one hundred million, six hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2944 4096 5888 6701 8192 11776 13402 16384 23552 26804 32768 47104 53608 65536 94208 107216 154123 188416 214432 308246 376832 428864 616492 753664 857728 1232984 1507328 1715456 2465968 3430912 4931936 6861824 9863872 13723648 19727744 27447296 39455488 54894592 78910976 109789184 157821952 219578368 315643904 439156736 631287808 1262575616 2525151232 5050302464 10100604928