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11164268948 = 22731101312697
BaseRepresentation
bin10100110010111000…
…10011100110010100
31001211001112121212112
422121130103212110
5140331023101243
65043453010152
7543442502030
oct123134234624
931731477775
1011164268948
114809a36558
1221b6a83958
13108bc81201
1477ca311c0
154551db818
hex299713994

11164268948 has 48 divisors (see below), whose sum is σ = 23073383424. Its totient is φ = 4625406720.

The previous prime is 11164268933. The next prime is 11164268953. The reversal of 11164268948 is 84986246111.

It is a happy number.

It is a super-2 number, since 2×111642689482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11164268896 and 11164268905.

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, 872936 + ... + 885632.

It is an arithmetic number, because the mean of its divisors is an integer number (480695488).

Almost surely, 211164268948 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 11164268948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536691712).

11164268948 is an abundant number, since it is smaller than the sum of its proper divisors (11909114476).

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

11164268948 is a wasteful number, since it uses less digits than its factorization.

11164268948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 13750 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

The spelling of 11164268948 in words is "eleven billion, one hundred sixty-four million, two hundred sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1013 2026 4052 7091 12697 14182 25394 28364 31403 50788 62806 88879 125612 177758 219821 355516 393607 439642 787214 879284 1574428 2755249 5510498 11020996 12862061 25724122 51448244 90034427 180068854 360137708 398723891 797447782 1594895564 2791067237 5582134474 11164268948