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16533620640 = 253351731941
BaseRepresentation
bin11110110010111101…
…10000011110100000
31120200020220221201000
433121132300132200
5232330101330030
611332340512000
71123501312425
oct173136603640
946606827630
1016533620640
117014885999
1232550ab600
1317364b02a4
14b2bb99d4c
1566b7a0860
hex3d97b07a0

16533620640 has 768 divisors, whose sum is σ = 66298176000. Its totient is φ = 3835330560.

The previous prime is 16533620639. The next prime is 16533620641. The reversal of 16533620640 is 4602633561.

16533620640 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 3 + 6 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (16533620639) and next prime (16533620641).

It is a super-2 number, since 2×165336206402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16533620595 and 16533620604.

It is not an unprimeable number, because it can be changed into a prime (16533620641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403259020 + ... + 403259060.

It is an arithmetic number, because the mean of its divisors is an integer number (86325750).

Almost surely, 216533620640 is an apocalyptic number.

16533620640 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 16533620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33149088000).

16533620640 is an abundant number, since it is smaller than the sum of its proper divisors (49764555360).

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

16533620640 is a wasteful number, since it uses less digits than its factorization.

16533620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 16533620640 in words is "sixteen billion, five hundred thirty-three million, six hundred twenty thousand, six hundred forty".