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20103649632 = 25331153107373
BaseRepresentation
bin10010101110010001…
…010101100101100000
31220220001120012211000
4102232101111211200
5312133013242012
613122510552000
71311121126263
oct225621254540
956801505730
1020103649632
118586a93580
123a90808600
131b84cc8691
14d89d86cda
157c9de1ddc
hex4ae455960

20103649632 has 384 divisors, whose sum is σ = 65958520320. Its totient is φ = 5905336320.

The previous prime is 20103649607. The next prime is 20103649667. The reversal of 20103649632 is 23694630102.

20103649632 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 3 + 649 + 6 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 53896998 + ... + 53897370.

It is an arithmetic number, because the mean of its divisors is an integer number (171766980).

Almost surely, 220103649632 is an apocalyptic number.

20103649632 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 20103649632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979260160).

20103649632 is an abundant number, since it is smaller than the sum of its proper divisors (45854870688).

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

20103649632 is a wasteful number, since it uses less digits than its factorization.

20103649632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20103649632 in words is "twenty billion, one hundred three million, six hundred forty-nine thousand, six hundred thirty-two".