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20683602576 = 243271313112049
BaseRepresentation
bin10011010000110101…
…101011101010010000
31222101110211212200200
4103100311223222100
5314330000240301
613300225215200
71331362502220
oct232065535220
958343755620
1020683602576
11885439982a
124012a91500
131c481c55c0
141002dd2080
15810c9ec86
hex4d0d6ba90

20683602576 has 240 divisors, whose sum is σ = 71793321600. Its totient is φ = 5412925440.

The previous prime is 20683602553. The next prime is 20683602593. The reversal of 20683602576 is 67520638602.

It is a happy number.

It is a super-2 number, since 2×206836025762 (a number of 21 digits) contains 22 as substring.

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, 1710600 + ... + 1722648.

It is an arithmetic number, because the mean of its divisors is an integer number (299138840).

Almost surely, 220683602576 is an apocalyptic number.

20683602576 is a gapful number since it is divisible by the number (26) 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 20683602576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35896660800).

20683602576 is an abundant number, since it is smaller than the sum of its proper divisors (51109719024).

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

20683602576 is a wasteful number, since it uses less digits than its factorization.

20683602576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20683602576 in words is "twenty billion, six hundred eighty-three million, six hundred two thousand, five hundred seventy-six".