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20014072848 = 24327115334057
BaseRepresentation
bin10010101000111011…
…101000010000010000
31220122211000020120100
4102220323220100100
5311442100312343
613105551012400
71305652545420
oct225073502020
956584006510
1020014072848
118540471180
123a6680a100
131b6c594273
14d7c10a480
157c20ea9d3
hex4a8ee8410

20014072848 has 240 divisors, whose sum is σ = 71152338816. Its totient is φ = 5100226560.

The previous prime is 20014072831. The next prime is 20014072853. The reversal of 20014072848 is 84827041002.

20014072848 is a `hidden beast` number, since 200 + 1 + 407 + 2 + 8 + 48 = 666.

It is a super-2 number, since 2×200140728482 (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 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 47 ways as a sum of consecutive naturals, for example, 570636 + ... + 604692.

Almost surely, 220014072848 is an apocalyptic number.

20014072848 is a gapful number since it is divisible by the number (28) 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 20014072848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35576169408).

20014072848 is an abundant number, since it is smaller than the sum of its proper divisors (51138265968).

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

20014072848 is a wasteful number, since it uses less digits than its factorization.

20014072848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34142 (or 34133 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20014072848 in words is "twenty billion, fourteen million, seventy-two thousand, eight hundred forty-eight".