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16160970240 = 293252330497
BaseRepresentation
bin11110000110100010…
…01101011000000000
31112201021201100110100
433003101031120000
5231044202021430
611231345402400
71111324660212
oct170321153000
945637640410
1016160970240
1169434a0158
123170339400
1316a72264ac
14ad44b45b2
15648be0960
hex3c344d600

16160970240 has 240 divisors, whose sum is σ = 58405377888. Its totient is φ = 4122083328.

The previous prime is 16160970233. The next prime is 16160970289. The reversal of 16160970240 is 4207906161.

16160970240 is a `hidden beast` number, since 1 + 6 + 1 + 609 + 7 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×161609702402 (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 = 16160970195 and 16160970204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514672 + ... + 545168.

Almost surely, 216160970240 is an apocalyptic number.

16160970240 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 16160970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29202688944).

16160970240 is an abundant number, since it is smaller than the sum of its proper divisors (42244407648).

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

16160970240 is a wasteful number, since it uses less digits than its factorization.

16160970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30549 (or 30530 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16160970240 in words is "sixteen billion, one hundred sixty million, nine hundred seventy thousand, two hundred forty".