Search a number
-
+
10455600324 = 22313615691931
BaseRepresentation
bin10011011110011001…
…11100110011000100
3222222200001112021110
421233030330303010
5132403113202244
64445255445020
7520046064531
oct115714746304
928880045243
1010455600324
114485a06304
122039686770
13ca81c8270
1471287bd88
15412da59b9
hex26f33ccc4

10455600324 has 96 divisors (see below), whose sum is σ = 26764536960. Its totient is φ = 3157171200.

The previous prime is 10455600317. The next prime is 10455600329. The reversal of 10455600324 is 42300655401.

It is a junction number, because it is equal to n+sod(n) for n = 10455600291 and 10455600300.

It is not an unprimeable number, because it can be changed into a prime (10455600329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5413639 + ... + 5415569.

It is an arithmetic number, because the mean of its divisors is an integer number (278797260).

Almost surely, 210455600324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455600324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382268480).

10455600324 is an abundant number, since it is smaller than the sum of its proper divisors (16308936636).

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

10455600324 is a wasteful number, since it uses less digits than its factorization.

10455600324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10455600324 in words is "ten billion, four hundred fifty-five million, six hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 569 732 793 1138 1586 1707 1931 2276 2379 3172 3414 3862 4758 5793 6828 7397 7724 9516 11586 14794 22191 23172 25103 29588 34709 44382 50206 69418 75309 88764 100412 104127 117791 138836 150618 208254 235582 301236 353373 416508 451217 471164 706746 902434 1098739 1353651 1413492 1531283 1804868 2197478 2707302 3062566 3296217 4394956 4593849 5414604 6125132 6592434 9187698 13184868 14283607 18375396 28567214 42850821 57134428 67023079 85701642 134046158 171403284 201069237 268092316 402138474 804276948 871300027 1742600054 2613900081 3485200108 5227800162 10455600324