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20863668425040 = 243257234319721247
BaseRepresentation
bin1001011111001101100111…
…00010111001000101010000
32201212112202220222100111200
410233212303202321011100
510213312243104100130
6112212345325511200
74252231103350230
oct457466342710520
981775686870450
1020863668425040
116714260a02921
12240b628412500
13b84587a0739c
14521b42357cc0
15262aa29a6760
hex12f9b38b9150

20863668425040 has 960 divisors, whose sum is σ = 85939624083456. Its totient is φ = 4432591392768.

The previous prime is 20863668424999. The next prime is 20863668425053. The reversal of 20863668425040 is 4052486636802.

It is a happy number.

20863668425040 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 36 + 68 + 42 + 504 + 0 = 666.

It is a super-2 number, since 2×208636684250402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 981947697 + ... + 981968943.

Almost surely, 220863668425040 is an apocalyptic number.

20863668425040 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 20863668425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42969812041728).

20863668425040 is an abundant number, since it is smaller than the sum of its proper divisors (65075955658416).

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

20863668425040 is a wasteful number, since it uses less digits than its factorization.

20863668425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536 (or 21527 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 20863668425040 in words is "twenty trillion, eight hundred sixty-three billion, six hundred sixty-eight million, four hundred twenty-five thousand, forty".