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11897913984 = 27311232941103
BaseRepresentation
bin10110001010010101…
…11100001010000000
31010201012000122122220
423011022330022000
5143331331221414
65244341331040
7600561412605
oct130512741200
933635018586
1011897913984
115056075970
122380706a80
131177c706b8
1480c2466ac
15499807ca9
hex2c52bc280

11897913984 has 512 divisors, whose sum is σ = 38494310400. Its totient is φ = 3216998400.

The previous prime is 11897913983. The next prime is 11897913997. The reversal of 11897913984 is 48931979811.

Its product of digits (3919104) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (11897913983) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 115513677 + ... + 115513779.

It is an arithmetic number, because the mean of its divisors is an integer number (75184200).

Almost surely, 211897913984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11897913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

11897913984 is an abundant number, since it is smaller than the sum of its proper divisors (26596396416).

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

11897913984 is a wasteful number, since it uses less digits than its factorization.

11897913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 60.

The spelling of 11897913984 in words is "eleven billion, eight hundred ninety-seven million, nine hundred thirteen thousand, nine hundred eighty-four".