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20748838656 = 2837133161157
BaseRepresentation
bin10011010100101110…
…100010011100000000
31222120000121012202210
4103110232202130000
5314443200314111
613310515342120
71333114134660
oct232456423400
958500535683
1020748838656
1188881a6647
1240308b1940
131c58886930
14100b9341a0
158168890a6
hex4d4ba2700

20748838656 has 576 divisors, whose sum is σ = 71762518016. Its totient is φ = 5175705600.

The previous prime is 20748838619. The next prime is 20748838703. The reversal of 20748838656 is 65683884702.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20748838596 and 20748838605.

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, 132158130 + ... + 132158286.

Almost surely, 220748838656 is an apocalyptic number.

20748838656 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 20748838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35881259008).

20748838656 is an abundant number, since it is smaller than the sum of its proper divisors (51013679360).

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

20748838656 is a wasteful number, since it uses less digits than its factorization.

20748838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 20748838656 in words is "twenty billion, seven hundred forty-eight million, eight hundred thirty-eight thousand, six hundred fifty-six".