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1113113664 = 26341383199
BaseRepresentation
bin100001001011000…
…1100010001000000
32212120112000220000
41002112030101000
54234424114124
6302241520000
736404211225
oct10226142100
92776460800
101113113664
11521361853
12270943000
131497c2850
14a7b9394c
1567ac66c9
hex4258c440

1113113664 has 280 divisors, whose sum is σ = 3614318400. Its totient is φ = 336669696.

The previous prime is 1113113623. The next prime is 1113113671. The reversal of 1113113664 is 4663113111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5593437 + ... + 5593635.

It is an arithmetic number, because the mean of its divisors is an integer number (12908280).

Almost surely, 21113113664 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 1113113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807159200).

1113113664 is an abundant number, since it is smaller than the sum of its proper divisors (2501204736).

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

1113113664 is a wasteful number, since it uses less digits than its factorization.

1113113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1113113664 is about 33363.3581043635. The cubic root of 1113113664 is about 1036.3660349479.

Adding to 1113113664 its reverse (4663113111), we get a palindrome (5776226775).

The spelling of 1113113664 in words is "one billion, one hundred thirteen million, one hundred thirteen thousand, six hundred sixty-four".