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11142564352 = 2983925939
BaseRepresentation
bin10100110000010011…
…00000101000000000
31001202112200220202121
422120021200220000
5140304444024402
65041355454024
7543060143233
oct123011405000
931675626677
1011142564352
1147a8761577
1221ab757314
131087621c5a
14779bc141a
15453350837
hex298260a00

11142564352 has 40 divisors (see below), whose sum is σ = 22290760800. Its totient is φ = 5564427264.

The previous prime is 11142564347. The next prime is 11142564359. The reversal of 11142564352 is 25346524111.

It is a super-2 number, since 2×111425643522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11142564359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416599 + ... + 442537.

It is an arithmetic number, because the mean of its divisors is an integer number (557269020).

Almost surely, 211142564352 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 11142564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145380400).

11142564352 is an abundant number, since it is smaller than the sum of its proper divisors (11148196448).

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

11142564352 is an frugal number, since it uses more digits than its factorization.

11142564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26796 (or 26780 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The spelling of 11142564352 in words is "eleven billion, one hundred forty-two million, five hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 839 1678 3356 6712 13424 25939 26848 51878 53696 103756 107392 207512 214784 415024 429568 830048 1660096 3320192 6640384 13280768 21762821 43525642 87051284 174102568 348205136 696410272 1392820544 2785641088 5571282176 11142564352