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20480682024 = 23321147737537
BaseRepresentation
bin10011000100101111…
…100110100000101000
31221212100000110000200
4103010233212200220
5313421023311044
613224140032200
71323346632135
oct230457464050
957770013020
1020480682024
11875a8a15a0
123b76b32660
131c15157b7a
14dc408d58c
157ed06a369
hex4c4be6828

20480682024 has 192 divisors, whose sum is σ = 62653443840. Its totient is φ = 5990215680.

The previous prime is 20480681999. The next prime is 20480682037. The reversal of 20480682024 is 42028608402.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20480682024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2713584 + ... + 2721120.

It is an arithmetic number, because the mean of its divisors is an integer number (326320020).

Almost surely, 220480682024 is an apocalyptic number.

20480682024 is a gapful number since it is divisible by the number (24) 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 20480682024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31326721920).

20480682024 is an abundant number, since it is smaller than the sum of its proper divisors (42172761816).

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

20480682024 is a wasteful number, since it uses less digits than its factorization.

20480682024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20480682024 in words is "twenty billion, four hundred eighty million, six hundred eighty-two thousand, twenty-four".