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11982986960 = 245721398191
BaseRepresentation
bin10110010100011110…
…11101111011010000
31010221010002210211212
423022033131323100
5144020121040320
65301020555252
7602643465020
oct131217357320
933833083755
1011982986960
11509a0a150a
1223a50b2b28
13118c788b39
1481966da80
154a200e9c5
hex2ca3dded0

11982986960 has 40 divisors (see below), whose sum is σ = 31840509696. Its totient is φ = 4108452480.

The previous prime is 11982986957. The next prime is 11982986987. The reversal of 11982986960 is 6968928911.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11982986960.

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 7 ways as a sum of consecutive naturals, for example, 10698536 + ... + 10699655.

Almost surely, 211982986960 is an apocalyptic number.

11982986960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11982986960 is an abundant number, since it is smaller than the sum of its proper divisors (19857522736).

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

11982986960 is a wasteful number, since it uses less digits than its factorization.

11982986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398211 (or 21398205 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 59.

The spelling of 11982986960 in words is "eleven billion, nine hundred eighty-two million, nine hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21398191 42796382 85592764 106990955 149787337 171185528 213981910 299574674 342371056 427963820 599149348 748936685 855927640 1198298696 1497873370 1711855280 2396597392 2995746740 5991493480 11982986960