Search a number
-
+
10605054456 = 23321303113041
BaseRepresentation
bin10011110000001110…
…00100100111111000
31000101002021120210200
421320013010213320
5133204343220311
64512155042200
7523542322053
oct117007044770
930332246720
1010605054456
114552305417
12207b740360
131000165869
14728663a9a
15421078556
hex2781c49f8

10605054456 has 48 divisors (see below), whose sum is σ = 28744319760. Its totient is φ = 3532273920.

The previous prime is 10605054437. The next prime is 10605054571. The reversal of 10605054456 is 65445050601.

10605054456 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 0 + 544 + 56 = 666.

It is a super-2 number, since 2×106050544562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10605054456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37296 + ... + 150336.

It is an arithmetic number, because the mean of its divisors is an integer number (598839995).

Almost surely, 210605054456 is an apocalyptic number.

It is an amenable number.

10605054456 is an abundant number, since it is smaller than the sum of its proper divisors (18139265304).

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

10605054456 is a wasteful number, since it uses less digits than its factorization.

10605054456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114356 (or 114349 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10605054456 in words is "ten billion, six hundred five million, fifty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1303 2606 3909 5212 7818 10424 11727 15636 23454 31272 46908 93816 113041 226082 339123 452164 678246 904328 1017369 1356492 2034738 2712984 4069476 8138952 147292423 294584846 441877269 589169692 883754538 1178339384 1325631807 1767509076 2651263614 3535018152 5302527228 10605054456