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11910996864 = 2738131091
BaseRepresentation
bin10110001011111001…
…10110001110000000
31010202002122100000000
423011330312032000
5143343203344424
65245530000000
7601110542244
oct130574661600
933662570000
1011910996864
1150624a1268
122384b76000
13117a8a1550
1480dc90424
1549aa3e3c9
hex2c5f36380

11910996864 has 288 divisors, whose sum is σ = 38364548040. Its totient is φ = 3661562880.

The previous prime is 11910996863. The next prime is 11910996869. The reversal of 11910996864 is 46869901911.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11910996864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11910996863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10916959 + ... + 10918049.

Almost surely, 211910996864 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 11910996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182274020).

11910996864 is an abundant number, since it is smaller than the sum of its proper divisors (26453551176).

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

11910996864 is an frugal number, since it uses more digits than its factorization.

11910996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11910996864 in words is "eleven billion, nine hundred ten million, nine hundred ninety-six thousand, eight hundred sixty-four".