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11964331008 = 2103271943227
BaseRepresentation
bin10110010010010000…
…10011010000000000
31010212210222222200200
423021020103100000
5144000332043013
65255113045200
7602326064340
oct131110232000
933783888620
1011964331008
11508a609a73
12239a9b6800
131188956406
14816db4d20
154a0576e73
hex2c9213400

11964331008 has 528 divisors, whose sum is σ = 42713848320. Its totient is φ = 3149217792.

The previous prime is 11964331003. The next prime is 11964331013. The reversal of 11964331008 is 80013346911.

11964331008 is a `hidden beast` number, since 1 + 1 + 9 + 643 + 3 + 1 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11964331003) and next prime (11964331013).

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 (11964331003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52706191 + ... + 52706417.

It is an arithmetic number, because the mean of its divisors is an integer number (80897440).

Almost surely, 211964331008 is an apocalyptic number.

11964331008 is a gapful number since it is divisible by the number (18) 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 11964331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356924160).

11964331008 is an abundant number, since it is smaller than the sum of its proper divisors (30749517312).

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

11964331008 is a wasteful number, since it uses less digits than its factorization.

11964331008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 11964331008 its reverse (80013346911), we get a palindrome (91977677919).

The spelling of 11964331008 in words is "eleven billion, nine hundred sixty-four million, three hundred thirty-one thousand, eight".