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1112956416 = 29331113563
BaseRepresentation
bin100001001010110…
…0101111000000000
32212120020001012000
41002111211320000
54234404101131
6302234304000
736402654615
oct10225457000
92776201160
101112956416
115212646a0
12270888000
131497690c0
14a7b5250c
1567a94ce6
hex42565e00

1112956416 has 320 divisors, whose sum is σ = 3877251840. Its totient is φ = 310763520.

The previous prime is 1112956409. The next prime is 1112956417. The reversal of 1112956416 is 6146592111.

1112956416 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 9 + 5 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112956417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976551 + ... + 1977113.

It is an arithmetic number, because the mean of its divisors is an integer number (12116412).

Almost surely, 21112956416 is an apocalyptic number.

1112956416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938625920).

1112956416 is an abundant number, since it is smaller than the sum of its proper divisors (2764295424).

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

1112956416 is a wasteful number, since it uses less digits than its factorization.

1112956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 592 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1112956416 is about 33361.0014238182. The cubic root of 1112956416 is about 1036.3172306594.

It can be divided in two parts, 111295 and 6416, that added together give a palindrome (117711).

The spelling of 1112956416 in words is "one billion, one hundred twelve million, nine hundred fifty-six thousand, four hundred sixteen".