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20644741134576 = 243213172469726267
BaseRepresentation
bin1001011000110101110100…
…11101100011100011110000
32201002121200111122200121100
410230122322131203203300
510201220412212301301
6111524021350124400
74230350634160326
oct454327235434360
981077614580540
1020644741134576
11663a427188209
12239510a050700
13b69a38327670
145152d4627d16
1525c03ca5b286
hex12c6ba7638f0

20644741134576 has 240 divisors, whose sum is σ = 65886187951584. Its totient is φ = 5978097893376.

The previous prime is 20644741134551. The next prime is 20644741134623. The reversal of 20644741134576 is 67543114744602.

20644741134576 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 4 + 74 + 113 + 457 + 6 = 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 47 ways as a sum of consecutive naturals, for example, 785944195 + ... + 785970461.

Almost surely, 220644741134576 is an apocalyptic number.

20644741134576 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 20644741134576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32943093975792).

20644741134576 is an abundant number, since it is smaller than the sum of its proper divisors (45241446817008).

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

20644741134576 is a wasteful number, since it uses less digits than its factorization.

20644741134576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51008 (or 50999 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 20644741134576 in words is "twenty trillion, six hundred forty-four billion, seven hundred forty-one million, one hundred thirty-four thousand, five hundred seventy-six".