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10457062950 = 2352174100809
BaseRepresentation
bin10011011110100101…
…00001111000100110
3222222202210211121210
421233102201320212
5132404002003300
64445351052250
7520064365665
oct115722417046
928882724553
1010457062950
114486815194
12203a071086
13ca85bac19
14712b3cddc
15413094050
hex26f4a1e26

10457062950 has 48 divisors (see below), whose sum is σ = 27459023760. Its totient is φ = 2624517120.

The previous prime is 10457062943. The next prime is 10457062963. The reversal of 10457062950 is 5926075401.

10457062950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10457062899 and 10457062908.

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 23 ways as a sum of consecutive naturals, for example, 2047855 + ... + 2052954.

It is an arithmetic number, because the mean of its divisors is an integer number (572062995).

Almost surely, 210457062950 is an apocalyptic number.

10457062950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10457062950 is an abundant number, since it is smaller than the sum of its proper divisors (17001960810).

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

10457062950 is a wasteful number, since it uses less digits than its factorization.

10457062950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100841 (or 4100836 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 10457062950 in words is "ten billion, four hundred fifty-seven million, sixty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 4100809 8201618 12302427 20504045 24604854 41008090 61512135 69713753 102520225 123024270 139427506 205040450 209141259 307560675 348568765 418282518 615121350 697137530 1045706295 1742843825 2091412590 3485687650 5228531475 10457062950