Search a number
-
+
10141056516 = 2232979368873
BaseRepresentation
bin10010111000111010…
…00011111000000100
3222011202012001021210
421130131003320010
5131232102302031
64354142011420
7506206362303
oct113435037004
928152161253
1010141056516
1143343a8948
121b70276b70
13c57ca7676
146c2ba043a
153e5472746
hex25c743e04

10141056516 has 48 divisors (see below), whose sum is σ = 24788332800. Its totient is φ = 3222465792.

The previous prime is 10141056509. The next prime is 10141056539. The reversal of 10141056516 is 61565014101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156945 + ... + 211928.

It is an arithmetic number, because the mean of its divisors is an integer number (516423600).

Almost surely, 210141056516 is an apocalyptic number.

It is an amenable number.

10141056516 is an abundant number, since it is smaller than the sum of its proper divisors (14647276284).

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

10141056516 is a wasteful number, since it uses less digits than its factorization.

10141056516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368988 (or 368986 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 10141056516 in words is "ten billion, one hundred forty-one million, fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 2291 4582 6873 9164 13746 27492 368873 737746 1106619 1475492 2213238 4426476 10697317 21394634 29140967 32091951 42789268 58281934 64183902 87422901 116563868 128367804 174845802 349691604 845088043 1690176086 2535264129 3380352172 5070528258 10141056516