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10196025840 = 243257211134347
BaseRepresentation
bin10010111111011101…
…10000000111110000
3222022120121210000200
421133232300013300
5131340140311330
64403424115200
7510444534600
oct113756600760
928276553020
1010196025840
114362433140
121b86765b00
13c664b28b0
146ca1ccc00
153ea1cea60
hex25fbb01f0

10196025840 has 1440 divisors, whose sum is σ = 48902870016. Its totient is φ = 1869557760.

The previous prime is 10196025809. The next prime is 10196025863. The reversal of 10196025840 is 4852069101.

10196025840 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 602 + 5 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10196025795 and 10196025804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 216936697 + ... + 216936743.

Almost surely, 210196025840 is an apocalyptic number.

10196025840 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 10196025840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

10196025840 is an abundant number, since it is smaller than the sum of its proper divisors (38706844176).

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

10196025840 is a wasteful number, since it uses less digits than its factorization.

10196025840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10196025840 in words is "ten billion, one hundred ninety-six million, twenty-five thousand, eight hundred forty".