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10098249760 = 25563114061
BaseRepresentation
bin10010110011110011…
…10001000000100000
3222001202122020110101
421121321301000200
5131140122443020
64350012312144
7505146464254
oct113171610040
928052566411
1010098249760
114312220565
121b59a72654
13c4c16a421
146bb21a264
153e181900a
hex259e71020

10098249760 has 24 divisors (see below), whose sum is σ = 23857115436. Its totient is φ = 4039299840.

The previous prime is 10098249709. The next prime is 10098249787. The reversal of 10098249760 is 6794289001.

It can be written as a sum of positive squares in 2 ways, for example, as 9879564816 + 218684944 = 99396^2 + 14788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10098249760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31556871 + ... + 31557190.

Almost surely, 210098249760 is an apocalyptic number.

10098249760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10098249760 is an abundant number, since it is smaller than the sum of its proper divisors (13758865676).

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

10098249760 is an equidigital number, since it uses as much as digits as its factorization.

10098249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63114076 (or 63114068 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 10098249760 in words is "ten billion, ninety-eight million, two hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63114061 126228122 252456244 315570305 504912488 631140610 1009824976 1262281220 2019649952 2524562440 5049124880 10098249760