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14875799040 = 293752657
BaseRepresentation
bin11011101101010101…
…01010111000000000
31102101201102220000000
431312222222320000
5220431201032130
610500040000000
71034431130334
oct156652527000
942351386000
1014875799040
116344000aa3
122a71a60000
131530bb0c6b
14a119337c4
155c0e7e260
hex376aaae00

14875799040 has 320 divisors, whose sum is σ = 53512557120. Its totient is φ = 3965386752.

The previous prime is 14875798997. The next prime is 14875799093. The reversal of 14875799040 is 4099757841.

14875799040 is a `hidden beast` number, since 1 + 487 + 5 + 79 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5597392 + ... + 5600048.

It is an arithmetic number, because the mean of its divisors is an integer number (167226741).

Almost surely, 214875799040 is an apocalyptic number.

14875799040 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 14875799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756278560).

14875799040 is an abundant number, since it is smaller than the sum of its proper divisors (38636758080).

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

14875799040 is an frugal number, since it uses more digits than its factorization.

14875799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14875799040 in words is "fourteen billion, eight hundred seventy-five million, seven hundred ninety-nine thousand, forty".