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10459731450 = 235279961649
BaseRepresentation
bin10011011110111001…
…01101010111111010
3222222221211102010010
421233130231113322
5132410142401300
64445524202350
7520126151610
oct115734552772
928887742103
1010459731450
114488278063
12203ab393b6
13ca901370c
147132356b0
1541341ea50
hex26f72d5fa

10459731450 has 48 divisors (see below), whose sum is σ = 29645870400. Its totient is φ = 2390795520.

The previous prime is 10459731449. The next prime is 10459731509. The reversal of 10459731450 is 5413795401.

It is a super-2 number, since 2×104597314502 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10459731399 and 10459731408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4979775 + ... + 4981874.

It is an arithmetic number, because the mean of its divisors is an integer number (617622300).

Almost surely, 210459731450 is an apocalyptic number.

10459731450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10459731450 is an abundant number, since it is smaller than the sum of its proper divisors (19186138950).

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

10459731450 is a wasteful number, since it uses less digits than its factorization.

10459731450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961671 (or 9961666 counting only the distinct ones).

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

The spelling of 10459731450 in words is "ten billion, four hundred fifty-nine million, seven hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 9961649 19923298 29884947 49808245 59769894 69731543 99616490 139463086 149424735 209194629 249041225 298849470 348657715 418389258 498082450 697315430 747123675 1045973145 1494247350 1743288575 2091946290 3486577150 5229865725 10459731450