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1111112640 = 2636511433
BaseRepresentation
bin100001000111010…
…0011101111000000
32212102202101000000
41002032203233000
54233421101030
6302131000000
736351205311
oct10216435700
92772671000
101111112640
11520215410
12270139000
13149271b01
14a77d2608
156782d860
hex423a3bc0

1111112640 has 392 divisors, whose sum is σ = 4337566128. Its totient is φ = 268738560.

The previous prime is 1111112599. The next prime is 1111112659. The reversal of 1111112640 is 462111111.

1111112640 is a `hidden beast` number, since 1 + 1 + 1 + 11 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 2565864 + ... + 2566296.

Almost surely, 21111112640 is an apocalyptic number.

1111112640 is a gapful number since it is divisible by the number (10) 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 1111112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168783064).

1111112640 is an abundant number, since it is smaller than the sum of its proper divisors (3226453488).

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

1111112640 is an equidigital number, since it uses as much as digits as its factorization.

1111112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1111112640 is about 33333.3562666588. The cubic root of 1111112640 is about 1035.7446437124.

Adding to 1111112640 its reverse (462111111), we get a palindrome (1573223751).

The spelling of 1111112640 in words is "one billion, one hundred eleven million, one hundred twelve thousand, six hundred forty".