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10195348944 = 2431131271283
BaseRepresentation
bin10010111111011000…
…01010110111010000
3222022112100101111110
421133230022313100
5131340002131234
64403401413320
7510436015254
oct113754126720
928275311443
1010195348944
114362010620
121b8649a240
13c66306771
146ca094264
153ea0e91e9
hex25fb0add0

10195348944 has 240 divisors, whose sum is σ = 30213637632. Its totient is φ = 2937312000.

The previous prime is 10195348937. The next prime is 10195348967. The reversal of 10195348944 is 44984359101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10195348893 and 10195348902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36025827 + ... + 36026109.

Almost surely, 210195348944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10195348944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106818816).

10195348944 is an abundant number, since it is smaller than the sum of its proper divisors (20018288688).

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

10195348944 is a wasteful number, since it uses less digits than its factorization.

10195348944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 10195348944 in words is "ten billion, one hundred ninety-five million, three hundred forty-eight thousand, nine hundred forty-four".