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11940370680 = 23357294710429
BaseRepresentation
bin10110001111011001…
…11001100011111000
31010211010220200022010
423013230321203320
5143423213330210
65252455325520
7601615322220
oct130754714370
933733820263
1011940370680
115078034247
1223929808a0
1311839b74c4
14813b39080
1549d3e2920
hex2c7b398f8

11940370680 has 256 divisors, whose sum is σ = 43255296000. Its totient is φ = 2578802688.

The previous prime is 11940370669. The next prime is 11940370691. The reversal of 11940370680 is 8607304911.

It is an interprime number because it is at equal distance from previous prime (11940370669) and next prime (11940370691).

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 63 ways as a sum of consecutive naturals, for example, 1139706 + ... + 1150134.

It is an arithmetic number, because the mean of its divisors is an integer number (168966000).

Almost surely, 211940370680 is an apocalyptic number.

11940370680 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 11940370680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21627648000).

11940370680 is an abundant number, since it is smaller than the sum of its proper divisors (31314925320).

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

11940370680 is a wasteful number, since it uses less digits than its factorization.

11940370680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 11940370680 in words is "eleven billion, nine hundred forty million, three hundred seventy thousand, six hundred eighty".