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11984936964 = 2237111317193089
BaseRepresentation
bin10110010100101101…
…11010000000000100
31010221020202212202020
423022112322000010
5144021120440324
65301130443140
7602666166120
oct131226720004
933836685666
1011984936964
1150a0203590
1223a58934b0
13118ccbc5a0
14819a1a580
154a2297679
hex2ca5ba004

11984936964 has 384 divisors, whose sum is σ = 41861836800. Its totient is φ = 2561310720.

The previous prime is 11984936921. The next prime is 11984937007. The reversal of 11984936964 is 46963948911.

It is an interprime number because it is at equal distance from previous prime (11984936921) and next prime (11984937007).

It is a junction number, because it is equal to n+sod(n) for n = 11984936898 and 11984936907.

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 127 ways as a sum of consecutive naturals, for example, 3878332 + ... + 3881420.

It is an arithmetic number, because the mean of its divisors is an integer number (109015200).

Almost surely, 211984936964 is an apocalyptic number.

11984936964 is a gapful number since it is divisible by the number (14) 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 11984936964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930918400).

11984936964 is an abundant number, since it is smaller than the sum of its proper divisors (29876899836).

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

11984936964 is a wasteful number, since it uses less digits than its factorization.

11984936964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3161 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The spelling of 11984936964 in words is "eleven billion, nine hundred eighty-four million, nine hundred thirty-six thousand, nine hundred sixty-four".