Search a number
-
+
10053018540 = 2234512015167
BaseRepresentation
bin10010101110011010…
…01110001110101100
3221221121112020220000
421113031032032230
5131042033043130
64341315024300
7504060150645
oct112715161654
927847466800
1010053018540
114299737694
121b4689b090
13c429917a6
146b52046cc
153dc882260
hex25734e3ac

10053018540 has 120 divisors (see below), whose sum is σ = 31569058752. Its totient is φ = 2678054400.

The previous prime is 10053018523. The next prime is 10053018553. The reversal of 10053018540 is 4581035001.

10053018540 is a `hidden beast` number, since 10 + 0 + 530 + 1 + 85 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1943037 + ... + 1948203.

Almost surely, 210053018540 is an apocalyptic number.

10053018540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053018540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784529376).

10053018540 is an abundant number, since it is smaller than the sum of its proper divisors (21516040212).

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

10053018540 is a wasteful number, since it uses less digits than its factorization.

10053018540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10053018540 in words is "ten billion, fifty-three million, eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1201 1620 2402 3603 4804 5167 6005 7206 10334 10809 12010 14412 15501 18015 20668 21618 24020 25835 31002 32427 36030 43236 46503 51670 54045 62004 64854 72060 77505 93006 97281 103340 108090 129708 139509 155010 162135 186012 194562 216180 232515 279018 310020 324270 389124 418527 465030 486405 558036 648540 697545 837054 930060 972810 1395090 1674108 1945620 2092635 2790180 4185270 6205567 8370540 12411134 18616701 24822268 31027835 37233402 55850103 62055670 74466804 93083505 111700206 124111340 167550309 186167010 223400412 279250515 335100618 372334020 502650927 558501030 670201236 837751545 1005301854 1117002060 1675503090 2010603708 2513254635 3351006180 5026509270 10053018540