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11375694000 = 2433531121741
BaseRepresentation
bin10101001100000101…
…10101000010110000
31002100210101010112000
422212002311002300
5141244134202000
65120444334000
7551620542426
oct124602650260
932323333460
1011375694000
114908312300
122255844300
1310c3a088a8
1479cb49116
15468a51000
hex2a60b50b0

11375694000 has 480 divisors, whose sum is σ = 44817339840. Its totient is φ = 2756160000.

The previous prime is 11375693963. The next prime is 11375694023. The reversal of 11375694000 is 49657311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6533130 + ... + 6534870.

It is an arithmetic number, because the mean of its divisors is an integer number (93369458).

Almost surely, 211375694000 is an apocalyptic number.

11375694000 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 11375694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408669920).

11375694000 is an abundant number, since it is smaller than the sum of its proper divisors (33441645840).

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

11375694000 is a wasteful number, since it uses less digits than its factorization.

11375694000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11375694000 in words is "eleven billion, three hundred seventy-five million, six hundred ninety-four thousand".