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10542520104 = 2332988717077
BaseRepresentation
bin10011101000110001…
…00001011100101000
31000012201121111210120
421310120201130220
5133042341120404
64502042443240
7522152641134
oct116430413450
930181544716
1010542520104
11451aa83436
122062803520
13cc020c19c
147202263c4
1541a8249d9
hex274621728

10542520104 has 64 divisors (see below), whose sum is σ = 27297475200. Its totient is φ = 3388971264.

The previous prime is 10542520091. The next prime is 10542520111. The reversal of 10542520104 is 40102524501.

It is a super-2 number, since 2×105425201042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 608814 + ... + 625890.

It is an arithmetic number, because the mean of its divisors is an integer number (426523050).

Almost surely, 210542520104 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 10542520104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13648737600).

10542520104 is an abundant number, since it is smaller than the sum of its proper divisors (16754955096).

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

10542520104 is a wasteful number, since it uses less digits than its factorization.

10542520104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002 (or 17998 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 10542520104 in words is "ten billion, five hundred forty-two million, five hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 887 1774 2661 3548 5322 7096 10644 17077 21288 25723 34154 51231 51446 68308 77169 102462 102892 136616 154338 204924 205784 308676 409848 495233 617352 990466 1485699 1980932 2971398 3961864 5942796 11885592 15147299 30294598 45441897 60589196 90883794 121178392 181767588 363535176 439271671 878543342 1317815013 1757086684 2635630026 3514173368 5271260052 10542520104