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11152116564 = 22343109198281
BaseRepresentation
bin10100110001011011…
…11100101101010100
31001210012200012221020
422120231330231110
5140314420212224
65042340321140
7543234266241
oct123055745524
931705605836
1011152116564
114803096266
1221b29a31b0
1310895b7a54
1477b18a5c8
154540dac79
hex298b7cb54

11152116564 has 48 divisors (see below), whose sum is σ = 26871176640. Its totient is φ = 3597592320.

The previous prime is 11152116553. The next prime is 11152116587. The reversal of 11152116564 is 46561125111.

It is a super-3 number, since 3×111521165643 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 42897 + ... + 155384.

It is an arithmetic number, because the mean of its divisors is an integer number (559816180).

Almost surely, 211152116564 is an apocalyptic number.

It is an amenable number.

11152116564 is an abundant number, since it is smaller than the sum of its proper divisors (15719060076).

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

11152116564 is a wasteful number, since it uses less digits than its factorization.

11152116564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198440 (or 198438 counting only the distinct ones).

The product of its digits is 7200, while the sum is 33.

The spelling of 11152116564 in words is "eleven billion, one hundred fifty-two million, one hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 43 86 109 129 172 218 258 327 436 516 654 1308 4687 9374 14061 18748 28122 56244 198281 396562 594843 793124 1189686 2379372 8526083 17052166 21612629 25578249 34104332 43225258 51156498 64837887 86450516 102312996 129675774 259351548 929343047 1858686094 2788029141 3717372188 5576058282 11152116564