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10456245316 = 22113117534373
BaseRepresentation
bin10011011110011110…
…11010010001000100
3222222201021022001001
421233033122101010
5132403244322231
64445321343044
7520054422136
oct115717322104
928881238031
1010456245316
114486306960
122039937a84
13ca8392a0a
147129a9056
15412e81b61
hex26f3da444

10456245316 has 48 divisors (see below), whose sum is σ = 20622325248. Its totient is φ = 4595846400.

The previous prime is 10456245299. The next prime is 10456245329. The reversal of 10456245316 is 61354265401.

10456245316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×104562453163 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 2388906 + ... + 2393278.

It is an arithmetic number, because the mean of its divisors is an integer number (429631776).

Almost surely, 210456245316 is an apocalyptic number.

It is an amenable number.

10456245316 is a deficient number, since it is larger than the sum of its proper divisors (10166079932).

10456245316 is a wasteful number, since it uses less digits than its factorization.

10456245316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

It can be divided in two parts, 104562 and 45316, that added together give a triangular number (149878 = T547).

The spelling of 10456245316 in words is "ten billion, four hundred fifty-six million, two hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 1753 3506 4373 7012 8746 17492 19283 38566 48103 54343 77132 96206 108686 135563 192412 217372 271126 542252 597773 1195546 1491193 2391092 2982386 5964772 7665869 15331738 30663476 84324559 168649118 237641939 337298236 475283878 950567756 2614061329 5228122658 10456245316