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11994881760 = 253451754443
BaseRepresentation
bin10110010101111001…
…10101111011100000
31010221221111010110000
423022330311323200
5144031142204020
65302123540000
7603146545521
oct131274657340
933857433400
1011994881760
1150a5886224
1223a908a600
131192091c94
1481b088848
154a30ae090
hex2caf35ee0

11994881760 has 240 divisors, whose sum is σ = 44822874096. Its totient is φ = 3010424832.

The previous prime is 11994881749. The next prime is 11994881771. The reversal of 11994881760 is 6718849911.

11994881760 is a `hidden beast` number, since 1 + 1 + 99 + 488 + 1 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11994881749) and next prime (11994881771).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11994881697 and 11994881706.

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 39 ways as a sum of consecutive naturals, for example, 193099 + ... + 247541.

Almost surely, 211994881760 is an apocalyptic number.

11994881760 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 11994881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411437048).

11994881760 is an abundant number, since it is smaller than the sum of its proper divisors (32827992336).

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

11994881760 is a wasteful number, since it uses less digits than its factorization.

11994881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54487 (or 54470 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11994881760 in words is "eleven billion, nine hundred ninety-four million, eight hundred eighty-one thousand, seven hundred sixty".