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20139844032 = 2632711241281
BaseRepresentation
bin10010110000011011…
…011010000111000000
31220222120200002012100
4102300123122013000
5312221300002112
613130242430400
71312040564310
oct226033320700
956876602170
1020139844032
1185a5464a00
123aa0962400
131b8c65bc99
14d90ac9440
157cd1912dc
hex4b06da1c0

20139844032 has 252 divisors, whose sum is σ = 72518603248. Its totient is φ = 5231001600.

The previous prime is 20139844031. The next prime is 20139844061. The reversal of 20139844032 is 23044893102.

20139844032 is a `hidden beast` number, since 201 + 3 + 9 + 8 + 440 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×201398440322 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20139844031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 467232 + ... + 508512.

Almost surely, 220139844032 is an apocalyptic number.

20139844032 is a gapful number since it is divisible by the number (22) 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 20139844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36259301624).

20139844032 is an abundant number, since it is smaller than the sum of its proper divisors (52378759216).

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

20139844032 is a wasteful number, since it uses less digits than its factorization.

20139844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41328 (or 41304 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20139844032 in words is "twenty billion, one hundred thirty-nine million, eight hundred forty-four thousand, thirty-two".