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10128063645 = 3257103312161
BaseRepresentation
bin10010110111010110…
…11111110010011101
3222010211201221102100
421123223133302131
5131220241014040
64352555315313
7505661056230
oct113353376235
928124657370
1010128063645
114328034137
121b67a4bb39
13c553a878b
146c117b417
153e4257b30
hex25badfc9d

10128063645 has 48 divisors (see below), whose sum is σ = 20258065152. Its totient is φ = 4585006080.

The previous prime is 10128063641. The next prime is 10128063679. The reversal of 10128063645 is 54636082101.

It is a happy number.

10128063645 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 0 + 6 + 3 + 645 = 666.

It is not a de Polignac number, because 10128063645 - 22 = 10128063641 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128063641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123636 + ... + 188525.

It is an arithmetic number, because the mean of its divisors is an integer number (422043024).

Almost surely, 210128063645 is an apocalyptic number.

10128063645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10128063645 is an abundant number, since it is smaller than the sum of its proper divisors (10130001507).

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

10128063645 is a wasteful number, since it uses less digits than its factorization.

10128063645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312282 (or 312279 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10128063645 in words is "ten billion, one hundred twenty-eight million, sixty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 309 315 515 721 927 1545 2163 3605 4635 6489 10815 32445 312161 936483 1560805 2185127 2809449 4682415 6555381 10925635 14047245 19666143 32152583 32776905 96457749 98330715 160762915 225068081 289373247 482288745 675204243 1125340405 1446866235 2025612729 3376021215 10128063645