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16253035344 = 24337131093793
BaseRepresentation
bin11110010001100000…
…11010001101010000
31112221200221202001000
433020300122031100
5231241234112334
611244434542000
71113523343460
oct171060321520
945850852030
1016253035344
116990462017
123197137900
1316c031c3a0
14b027dbba0
15651d29299
hex3c8c1a350

16253035344 has 320 divisors, whose sum is σ = 57960179200. Its totient is φ = 4246069248.

The previous prime is 16253035333. The next prime is 16253035367. The reversal of 16253035344 is 44353035261.

16253035344 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 303 + 5 + 344 = 666.

It is a super-2 number, since 2×162530353442 (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 = 16253035299 and 16253035308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4283112 + ... + 4286904.

It is an arithmetic number, because the mean of its divisors is an integer number (181125560).

Almost surely, 216253035344 is an apocalyptic number.

16253035344 is a gapful number since it is divisible by the number (14) 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 16253035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28980089600).

16253035344 is an abundant number, since it is smaller than the sum of its proper divisors (41707143856).

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

16253035344 is a wasteful number, since it uses less digits than its factorization.

16253035344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 16253035344 in words is "sixteen billion, two hundred fifty-three million, thirty-five thousand, three hundred forty-four".