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10191739428 = 2232131731343
BaseRepresentation
bin10010111110111100…
…11001101000100100
3222022021120000011200
421133132121220210
5131333041130203
64403152202500
7510363233013
oct113736315044
928267500150
1010191739428
11435aa75752
121b85239430
13c65641860
146c97d4a7a
153e9b349a3
hex25f799a24

10191739428 has 288 divisors, whose sum is σ = 31061302272. Its totient is φ = 2789821440.

The previous prime is 10191739417. The next prime is 10191739447. The reversal of 10191739428 is 82493719101.

10191739428 is a `hidden beast` number, since 1 + 0 + 191 + 7 + 39 + 428 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237017175 + ... + 237017217.

It is an arithmetic number, because the mean of its divisors is an integer number (107851744).

Almost surely, 210191739428 is an apocalyptic number.

10191739428 is a gapful number since it is divisible by the number (18) 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 10191739428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530651136).

10191739428 is an abundant number, since it is smaller than the sum of its proper divisors (20869562844).

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

10191739428 is a wasteful number, since it uses less digits than its factorization.

10191739428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10191739428 in words is "ten billion, one hundred ninety-one million, seven hundred thirty-nine thousand, four hundred twenty-eight".