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20946316716 = 223313313713007
BaseRepresentation
bin10011100000011111…
…110110110110101100
32000001210012010202000
4103200133312312230
5320344224113331
613342252132300
71341032516523
oct234037666654
960053163660
1020946316716
118979716856
124086a67090
131c8a76a060
141029c5b4ba
15828d960e6
hex4e07f6dac

20946316716 has 192 divisors, whose sum is σ = 62005493760. Its totient is φ = 6068079360.

The previous prime is 20946316669. The next prime is 20946316717. The reversal of 20946316716 is 61761364902.

20946316716 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 631 + 6 + 7 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (20946316717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603885 + ... + 1616891.

It is an arithmetic number, because the mean of its divisors is an integer number (322945280).

Almost surely, 220946316716 is an apocalyptic number.

20946316716 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 20946316716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002746880).

20946316716 is an abundant number, since it is smaller than the sum of its proper divisors (41059177044).

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

20946316716 is a wasteful number, since it uses less digits than its factorization.

20946316716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20946316716 in words is "twenty billion, nine hundred forty-six million, three hundred sixteen thousand, seven hundred sixteen".