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11739031920 = 2434572113361
BaseRepresentation
bin10101110111011001…
…10110100101110000
31010022010001121110000
422323230312211300
5143020143010140
65220504110000
7563622060600
oct127354664560
933263047400
1011739031920
114a84417480
122337465300
131151081a45
147d50c8c00
1548a8c1a30
hex2bbb36970

11739031920 has 600 divisors, whose sum is σ = 51754977648. Its totient is φ = 2438553600.

The previous prime is 11739031903. The next prime is 11739031987. The reversal of 11739031920 is 2913093711.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3491040 + ... + 3494400.

Almost surely, 211739031920 is an apocalyptic number.

11739031920 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 11739031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877488824).

11739031920 is an abundant number, since it is smaller than the sum of its proper divisors (40015945728).

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

11739031920 is a wasteful number, since it uses less digits than its factorization.

11739031920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 11739031920 in words is "eleven billion, seven hundred thirty-nine million, thirty-one thousand, nine hundred twenty".