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11974941000 = 23325311294397
BaseRepresentation
bin10110010011100001…
…10001100101001000
31010220112222000212100
423021300301211020
5144011041103000
65300132313400
7602515214301
oct131160614510
933815860770
1011974941000
1150955a6460
1223a2472860
13118abcc809
148185777a8
154a1470a00
hex2c9c31948

11974941000 has 768 divisors, whose sum is σ = 47221574400. Its totient is φ = 2709504000.

The previous prime is 11974940993. The next prime is 11974941019. The reversal of 11974941000 is 14947911.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123452952 + ... + 123453048.

It is an arithmetic number, because the mean of its divisors is an integer number (61486425).

Almost surely, 211974941000 is an apocalyptic number.

11974941000 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 11974941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610787200).

11974941000 is an abundant number, since it is smaller than the sum of its proper divisors (35246633400).

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

11974941000 is a wasteful number, since it uses less digits than its factorization.

11974941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11974941000 in words is "eleven billion, nine hundred seventy-four million, nine hundred forty-one thousand".