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10147428160 = 265103307871
BaseRepresentation
bin10010111001101010…
…10111011101000000
3222012012011202112121
421130311113131000
5131240220200120
64354530334024
7506314500442
oct113465273500
928165152477
1010147428160
114337a5aa71
121b7242a314
13c593c887c
146c397c492
153e5cd05aa
hex25cd57740

10147428160 has 56 divisors (see below), whose sum is σ = 24398240256. Its totient is φ = 4019550720.

The previous prime is 10147428157. The next prime is 10147428191. The reversal of 10147428160 is 6182474101.

It is a happy number.

10147428160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120976 + ... + 186895.

Almost surely, 210147428160 is an apocalyptic number.

10147428160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10147428160 is an abundant number, since it is smaller than the sum of its proper divisors (14250812096).

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

10147428160 is a wasteful number, since it uses less digits than its factorization.

10147428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307991 (or 307981 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 10147428160 in words is "ten billion, one hundred forty-seven million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 6592 8240 16480 32960 307871 615742 1231484 1539355 2462968 3078710 4925936 6157420 9851872 12314840 19703744 24629680 31710713 49259360 63421426 98518720 126842852 158553565 253685704 317107130 507371408 634214260 1014742816 1268428520 2029485632 2536857040 5073714080 10147428160