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16253700480 = 2732519148517
BaseRepresentation
bin11110010001100101…
…11100100110000000
31112221202012112102200
433020302330212000
5231241421403410
611244501113200
71113532113603
oct171062744600
945852175380
1016253700480
116990876816
1231973b8800
1316c04c3064
14b0293233a
15651e0b3c0
hex3c8cbc980

16253700480 has 192 divisors, whose sum is σ = 59080460400. Its totient is φ = 4106170368.

The previous prime is 16253700473. The next prime is 16253700481. The reversal of 16253700480 is 8400735261.

16253700480 is a `hidden beast` number, since 1 + 62 + 53 + 70 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16253700481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35182 + ... + 183698.

Almost surely, 216253700480 is an apocalyptic number.

16253700480 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 16253700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29540230200).

16253700480 is an abundant number, since it is smaller than the sum of its proper divisors (42826759920).

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

16253700480 is a wasteful number, since it uses less digits than its factorization.

16253700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148561 (or 148546 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16253700480 in words is "sixteen billion, two hundred fifty-three million, seven hundred thousand, four hundred eighty".