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20859743885904 = 24327211436839151
BaseRepresentation
bin1001011111000110010011…
…00111111101101001010000
32201212011122102021002220100
410233203021213331221100
510213231223413322104
6112210500053212400
74252031620333200
oct457431147755120
981764572232810
1020859743885904
11671262767a550
12240a912031100
13b840b0916c91
1452188d048400
1526292318a139
hex12f8c99fda50

20859743885904 has 720 divisors, whose sum is σ = 75925198761984. Its totient is φ = 5283786816000.

The previous prime is 20859743885873. The next prime is 20859743885927. The reversal of 20859743885904 is 40958834795802.

20859743885904 is a `hidden beast` number, since 20 + 8 + 5 + 9 + 7 + 4 + 3 + 8 + 8 + 590 + 4 = 666.

It is a super-3 number, since 3×208597438859043 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 2279499729 + ... + 2279508879.

Almost surely, 220859743885904 is an apocalyptic number.

20859743885904 is a gapful number since it is divisible by the number (24) 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 20859743885904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37962599380992).

20859743885904 is an abundant number, since it is smaller than the sum of its proper divisors (55065454876080).

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

20859743885904 is a wasteful number, since it uses less digits than its factorization.

20859743885904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 20859743885904 in words is "twenty trillion, eight hundred fifty-nine billion, seven hundred forty-three million, eight hundred eighty-five thousand, nine hundred four".