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10247799240 = 2334572173797
BaseRepresentation
bin10011000101101000…
…10000000111001000
3222110012001010210000
421202310100013020
5131441414033430
64412513523000
7511643566500
oct114264200710
928405033700
1010247799240
114389685278
121b9bb73460
13c7413c243
146d3028a00
153eea09e60
hex262d101c8

10247799240 has 480 divisors, whose sum is σ = 42435585720. Its totient is φ = 2203987968.

The previous prime is 10247799193. The next prime is 10247799269. The reversal of 10247799240 is 4299774201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6482504196 + 3765295044 = 80514^2 + 61362^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2697022 + ... + 2700818.

Almost surely, 210247799240 is an apocalyptic number.

10247799240 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 10247799240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217792860).

10247799240 is an abundant number, since it is smaller than the sum of its proper divisors (32187786480).

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

10247799240 is a wasteful number, since it uses less digits than its factorization.

10247799240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10247799240 in words is "ten billion, two hundred forty-seven million, seven hundred ninety-nine thousand, two hundred forty".