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11199508752 = 2431791303481
BaseRepresentation
bin10100110111000101…
…01111000100010000
31001220111211222210110
422123202233010100
5140414033240002
65051152201320
7544351153005
oct123342570420
931814758713
1011199508752
114827915763
122206839240
13109636c173
147835a58ac
1545834ce6c
hex29b8af110

11199508752 has 40 divisors (see below), whose sum is σ = 29093718240. Its totient is φ = 3712311040.

The previous prime is 11199508739. The next prime is 11199508757. The reversal of 11199508752 is 25780599111.

It is a super-2 number, since 2×111995087522 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11199508757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643149 + ... + 660332.

It is an arithmetic number, because the mean of its divisors is an integer number (727342956).

Almost surely, 211199508752 is an apocalyptic number.

11199508752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11199508752 is an abundant number, since it is smaller than the sum of its proper divisors (17894209488).

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

11199508752 is a wasteful number, since it uses less digits than its factorization.

11199508752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303671 (or 1303665 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 48.

The spelling of 11199508752 in words is "eleven billion, one hundred ninety-nine million, five hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 1303481 2606962 3910443 5213924 7820886 10427848 15641772 20855696 31283544 62567088 233323099 466646198 699969297 933292396 1399938594 1866584792 2799877188 3733169584 5599754376 11199508752