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11681803392 = 273737731609
BaseRepresentation
bin10101110000100101…
…00010110010000000
31010011010101002122220
422320102202302000
5142411020202032
65211101331040
7562325455560
oct127022426200
933133332586
1011681803392
114a55089876
122320266a80
1311422653cc
147cb66cda0
1548586a12c
hex2b84a2c80

11681803392 has 256 divisors, whose sum is σ = 36942931200. Its totient is φ = 3200974848.

The previous prime is 11681803373. The next prime is 11681803457. The reversal of 11681803392 is 29330818611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7259484 + ... + 7261092.

It is an arithmetic number, because the mean of its divisors is an integer number (144308325).

Almost surely, 211681803392 is an apocalyptic number.

11681803392 is a gapful number since it is divisible by the number (12) 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 11681803392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471465600).

11681803392 is an abundant number, since it is smaller than the sum of its proper divisors (25261127808).

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

11681803392 is a wasteful number, since it uses less digits than its factorization.

11681803392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 11681803392 in words is "eleven billion, six hundred eighty-one million, eight hundred three thousand, three hundred ninety-two".