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20500007640 = 23357231517027
BaseRepresentation
bin10011000101111001…
…010100101011011000
31221220200101021210020
4103011321110223120
5313441000221030
613230110150440
71324003122060
oct230571245330
957820337706
1020500007640
11876a7a1182
123b814b2420
131c19163348
14dc68803a0
157eead6510
hex4c5e54ad8

20500007640 has 256 divisors, whose sum is σ = 73837854720. Its totient is φ = 4451673600.

The previous prime is 20500007623. The next prime is 20500007707. The reversal of 20500007640 is 4670000502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20500007640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2913807 + ... + 2920833.

It is an arithmetic number, because the mean of its divisors is an integer number (288429120).

Almost surely, 220500007640 is an apocalyptic number.

20500007640 is a gapful number since it is divisible by the number (20) 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 20500007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918927360).

20500007640 is an abundant number, since it is smaller than the sum of its proper divisors (53337847080).

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

20500007640 is a wasteful number, since it uses less digits than its factorization.

20500007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 20500007640 in words is "twenty billion, five hundred million, seven thousand, six hundred forty".