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20299271366880 = 25355112192941191
BaseRepresentation
bin1001001110110010010101…
…10110111110100011100000
32122212120222010100010200000
410213121022312332203200
510130040401432220010
6111101205002100000
74163400603456402
oct447311266764340
978776863303600
1020299271366880
116516966538500
12233a174aaa600
13b432a018948c
145026c06d0b72
1525306d5b87c0
hex12764adbe8e0

20299271366880 has 3456 divisors, whose sum is σ = 88541442662400. Its totient is φ = 4368494592000.

The previous prime is 20299271366821. The next prime is 20299271366911. The reversal of 20299271366880 is 8866317299202.

20299271366880 is a `hidden beast` number, since 20 + 29 + 92 + 71 + 366 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 106278907585 + ... + 106278907775.

It is an arithmetic number, because the mean of its divisors is an integer number (25619630400).

Almost surely, 220299271366880 is an apocalyptic number.

20299271366880 is a gapful number since it is divisible by the number (20) 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 20299271366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44270721331200).

20299271366880 is an abundant number, since it is smaller than the sum of its proper divisors (68242171295520).

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

20299271366880 is a wasteful number, since it uses less digits than its factorization.

20299271366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 20299271366880 in words is "twenty trillion, two hundred ninety-nine billion, two hundred seventy-one million, three hundred sixty-six thousand, eight hundred eighty".