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189921515940 = 22335131911312601
BaseRepresentation
bin1011000011100000110…
…1000101100110100100
3200011012221211122111000
42300320031011212210
511102424402002230
6223125421113300
716502301151362
oct2607015054644
9604187748430
10189921515940
11735aa820a32
12309843b8830
1314ba92b2640
14929976c632
154e18761b60
hex2c383459a4

189921515940 has 384 divisors, whose sum is σ = 675789811200. Its totient is φ = 43893964800.

The previous prime is 189921515933. The next prime is 189921515983. The reversal of 189921515940 is 49515129981.

189921515940 is a `hidden beast` number, since 1 + 89 + 9 + 2 + 1 + 515 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15065640 + ... + 15078240.

It is an arithmetic number, because the mean of its divisors is an integer number (1759869300).

Almost surely, 2189921515940 is an apocalyptic number.

189921515940 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 189921515940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337894905600).

189921515940 is an abundant number, since it is smaller than the sum of its proper divisors (485868295260).

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

189921515940 is a wasteful number, since it uses less digits than its factorization.

189921515940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12764 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 189921515940 in words is "one hundred eighty-nine billion, nine hundred twenty-one million, five hundred fifteen thousand, nine hundred forty".