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10028148116 = 227273700877
BaseRepresentation
bin10010101011011100…
…10110010110010100
3221212212201201002012
421111232112112110
5131014201214431
64335030003352
7503335565300
oct112556262624
927785651065
1010028148116
1142866a0118
121b3a4a6558
13c3a79456c
146b1bacd00
153da5bd22b
hex255b96594

10028148116 has 36 divisors (see below), whose sum is σ = 20694123828. Its totient is φ = 4238898048.

The previous prime is 10028148107. The next prime is 10028148161. The reversal of 10028148116 is 61184182001.

It is a happy number.

10028148116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4648512400 + 5379635716 = 68180^2 + 73346^2 .

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 11 ways as a sum of consecutive naturals, for example, 336131 + ... + 364746.

It is an arithmetic number, because the mean of its divisors is an integer number (574836773).

Almost surely, 210028148116 is an apocalyptic number.

It is an amenable number.

10028148116 is an abundant number, since it is smaller than the sum of its proper divisors (10665975712).

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

10028148116 is a wasteful number, since it uses less digits than its factorization.

10028148116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700968 (or 700959 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The spelling of 10028148116 in words is "ten billion, twenty-eight million, one hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 7154 14308 700877 1401754 2803508 4906139 9812278 19624556 34342973 51164021 68685946 102328042 137371892 204656084 358148147 716296294 1432592588 2507037029 5014074058 10028148116