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10453426564 = 22726721092
BaseRepresentation
bin10011011110001001…
…01010000110000100
3222222111222002102211
421233010222012010
5132402034122224
64445141113204
7520021442200
oct115704520604
928874862384
1010453426564
114484761109
1220389b8804
13ca7916a09
14712473b00
15412ac6894
hex26f12a184

10453426564 has 81 divisors (see below), whose sum is σ = 21802551813. Its totient is φ = 4372685856.

The previous prime is 10453426523. The next prime is 10453426583. The reversal of 10453426564 is 46562435401.

The square root of 10453426564 is 102242.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7285988164 + 3167438400 = 85358^2 + 56280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95902942 + ... + 95903050.

Almost surely, 210453426564 is an apocalyptic number.

10453426564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10453426564 is the 102242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10453426564

10453426564 is an abundant number, since it is smaller than the sum of its proper divisors (11349125249).

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

10453426564 is an equidigital number, since it uses as much as digits as its factorization.

10453426564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 10453426564 in words is "ten billion, four hundred fifty-three million, four hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 67 98 109 134 196 218 268 436 469 763 938 1526 1876 3052 3283 4489 5341 6566 7303 8978 10682 11881 13132 14606 17956 21364 23762 29212 31423 47524 51121 62846 83167 102242 125692 166334 204484 219961 332668 357847 439922 489301 582169 715694 796027 879844 978602 1164338 1431388 1592054 1957204 2328676 3184108 3425107 5572189 6850214 11144378 13700428 22288756 23975749 39005323 47951498 53333809 78010646 95902996 106667618 156021292 213335236 373336663 746673326 1493346652 2613356641 5226713282 10453426564