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20869899837696 = 28357132614649
BaseRepresentation
bin1001011111011001001101…
…11101110110000100000000
32201220010212012110220200000
410233230212331312010000
510213413023324301241
6112215255530400000
74252541400444120
oct457544675660400
981803765426600
1020869899837696
116716969421438
122410887290000
13b8503ba08400
14522173ba4c80
15262d19aa0eb6
hex12fb26f76100

20869899837696 has 1296 divisors, whose sum is σ = 78506931484800. Its totient is φ = 5412752916480.

The previous prime is 20869899837659. The next prime is 20869899837707. The reversal of 20869899837696 is 69673899896802.

20869899837696 is a `hidden beast` number, since 2 + 0 + 8 + 69 + 8 + 9 + 98 + 376 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4489113580 + ... + 4489118228.

Almost surely, 220869899837696 is an apocalyptic number.

20869899837696 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 20869899837696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39253465742400).

20869899837696 is an abundant number, since it is smaller than the sum of its proper divisors (57637031647104).

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

20869899837696 is an equidigital number, since it uses as much as digits as its factorization.

20869899837696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 30474952704, while the sum is 90.

The spelling of 20869899837696 in words is "twenty trillion, eight hundred sixty-nine billion, eight hundred ninety-nine million, eight hundred thirty-seven thousand, six hundred ninety-six".