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16250120640 = 2633513231359
BaseRepresentation
bin11110010001001010…
…10010100111000000
31112221111110122211000
433020211102213000
5231240012330030
611244252252000
71113456514005
oct171045224700
945844418730
1016250120640
116989851176
123196171000
1316bc83b800
14b0227d8ac
15651950860
hex3c89529c0

16250120640 has 672 divisors, whose sum is σ = 64256716800. Its totient is φ = 3860213760.

The previous prime is 16250120639. The next prime is 16250120641. The reversal of 16250120640 is 4602105261.

16250120640 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 0 + 12 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (16250120639) and next prime (16250120641).

It is a super-3 number, since 3×162501206403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16250120641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45264781 + ... + 45265139.

Almost surely, 216250120640 is an apocalyptic number.

16250120640 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 16250120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128358400).

16250120640 is an abundant number, since it is smaller than the sum of its proper divisors (48006596160).

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

16250120640 is a wasteful number, since it uses less digits than its factorization.

16250120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 16250120640 in words is "sixteen billion, two hundred fifty million, one hundred twenty thousand, six hundred forty".