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11312555264 = 28359123091
BaseRepresentation
bin10101000100100011…
…11110010100000000
31002012101120100110022
422202101332110000
5141132003232024
65110311153012
7550223063453
oct124221762400
932171510408
1011312555264
11488570822a
122238675768
1310b39000aa
147945d149a
1546322d35e
hex2a247e500

11312555264 has 36 divisors (see below), whose sum is σ = 22644004320. Its totient is φ = 5640476160.

The previous prime is 11312555249. The next prime is 11312555311. The reversal of 11312555264 is 46255521311.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30359 + ... + 153449.

It is an arithmetic number, because the mean of its divisors is an integer number (629000120).

Almost surely, 211312555264 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 11312555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322002160).

11312555264 is an abundant number, since it is smaller than the sum of its proper divisors (11331449056).

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

11312555264 is an equidigital number, since it uses as much as digits as its factorization.

11312555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123466 (or 123452 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The spelling of 11312555264 in words is "eleven billion, three hundred twelve million, five hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 359 718 1436 2872 5744 11488 22976 45952 91904 123091 246182 492364 984728 1969456 3938912 7877824 15755648 31511296 44189669 88379338 176758676 353517352 707034704 1414069408 2828138816 5656277632 11312555264