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11902407840 = 253353124761
BaseRepresentation
bin10110001010111000…
…00101010010100000
31010201111110222002000
423011130011102200
5143334004022330
65245021524000
7600644540331
oct130534052240
933644428060
1011902407840
1150586651a4
122382113600
131178b84c9b
1480ca96288
15499de4560
hex2c57054a0

11902407840 has 576 divisors, whose sum is σ = 44682140160. Its totient is φ = 2956953600.

The previous prime is 11902407833. The next prime is 11902407919. The reversal of 11902407840 is 4870420911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11902407795 and 11902407804.

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 95 ways as a sum of consecutive naturals, for example, 195121410 + ... + 195121470.

It is an arithmetic number, because the mean of its divisors is an integer number (77573160).

Almost surely, 211902407840 is an apocalyptic number.

11902407840 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 11902407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341070080).

11902407840 is an abundant number, since it is smaller than the sum of its proper divisors (32779732320).

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

11902407840 is a wasteful number, since it uses less digits than its factorization.

11902407840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11902407840 in words is "eleven billion, nine hundred two million, four hundred seven thousand, eight hundred forty".