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11397353472 = 21232309173
BaseRepresentation
bin10101001110101010…
…11101000000000000
31002102022010112201200
422213111131000000
5141320210302342
65122540501200
7552302622531
oct124725350000
932368115650
1011397353472
11491956639a
122260b4a800
1310c835044b
147a1986688
1546a8cd94c
hex2a755d000

11397353472 has 78 divisors (see below), whose sum is σ = 32921775042. Its totient is φ = 3799105536.

The previous prime is 11397353447. The next prime is 11397353477. The reversal of 11397353472 is 27435379311.

11397353472 is a `hidden beast` number, since 11 + 39 + 7 + 3 + 534 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11273342976 + 124010496 = 106176^2 + 11136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11397353477) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 117723 + ... + 191450.

It is an arithmetic number, because the mean of its divisors is an integer number (422074039).

Almost surely, 211397353472 is an apocalyptic number.

11397353472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11397353472 is an abundant number, since it is smaller than the sum of its proper divisors (21524421570).

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

11397353472 is an equidigital number, since it uses as much as digits as its factorization.

11397353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309203 (or 309178 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 11397353472 in words is "eleven billion, three hundred ninety-seven million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 309173 618346 927519 1236692 1855038 2473384 2782557 3710076 4946768 5565114 7420152 9893536 11130228 14840304 19787072 22260456 29680608 39574144 44520912 59361216 79148288 89041824 118722432 158296576 178083648 237444864 316593152 356167296 474889728 633186304 712334592 949779456 1266372608 1424669184 1899558912 2849338368 3799117824 5698676736 11397353472