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11553120904 = 23131131915147
BaseRepresentation
bin10101100001001111…
…01010001010001000
31002211011020100110211
422300213222022020
5142130044332104
65150223250504
7556203623143
oct126047521210
932734210424
1011553120904
114999487806
1222a5149a34
1311216bb520
147b853305a
154793ebe04
hex2b09ea288

11553120904 has 64 divisors (see below), whose sum is σ = 23662679040. Its totient is φ = 5256330240.

The previous prime is 11553120877. The next prime is 11553120941. The reversal of 11553120904 is 40902135511.

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, 2242059 + ... + 2247205.

It is an arithmetic number, because the mean of its divisors is an integer number (369729360).

Almost surely, 211553120904 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 11553120904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831339520).

11553120904 is an abundant number, since it is smaller than the sum of its proper divisors (12109558136).

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

11553120904 is a wasteful number, since it uses less digits than its factorization.

11553120904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 11553120904 in words is "eleven billion, five hundred fifty-three million, one hundred twenty thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 52 104 113 191 226 382 452 764 904 1469 1528 2483 2938 4966 5147 5876 9932 10294 11752 19864 20588 21583 41176 43166 66911 86332 133822 172664 267644 280579 535288 561158 581611 983077 1122316 1163222 1966154 2244632 2326444 3932308 4652888 7560943 7864616 12780001 15121886 25560002 30243772 51120004 60487544 102240008 111087701 222175402 444350804 888701608 1444140113 2888280226 5776560452 11553120904