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10486494720 = 2932513157223
BaseRepresentation
bin10011100010000101…
…10011011000000000
31000001211012010102100
421301002303120000
5132434020312340
64452321550400
7520602506622
oct116102633000
930054163370
1010486494720
1144a1397769
122047aa5400
13cb1724380
14716a00c12
15415959830
hex2710b3600

10486494720 has 480 divisors, whose sum is σ = 39536969472. Its totient is φ = 2553348096.

The previous prime is 10486494701. The next prime is 10486494757. The reversal of 10486494720 is 2749468401.

10486494720 is a `hidden beast` number, since 10 + 4 + 86 + 494 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 47024529 + ... + 47024751.

Almost surely, 210486494720 is an apocalyptic number.

10486494720 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 10486494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768484736).

10486494720 is an abundant number, since it is smaller than the sum of its proper divisors (29050474752).

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

10486494720 is a wasteful number, since it uses less digits than its factorization.

10486494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10486494720 in words is "ten billion, four hundred eighty-six million, four hundred ninety-four thousand, seven hundred twenty".