Search a number
-
+
20479496385600 = 26325271949104243
BaseRepresentation
bin1001010100000010000010…
…00110110111010001000000
32200111211011022111200120100
410222001001012313101000
510141014002033314400
6111320052321442400
74212411004034640
oct452010106672100
980454138450510
1020479496385600
11658633a8a056a
122369091aa0400
13b572926078a5
1450b2da342520
15257aba91e100
hex12a0411b7440

20479496385600 has 504 divisors, whose sum is σ = 83230869758400. Its totient is φ = 4678581104640.

The previous prime is 20479496385547. The next prime is 20479496385611. The reversal of 20479496385600 is 658369497402.

20479496385600 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 9 + 4 + 9 + 63 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196407079 + ... + 196511321.

It is an arithmetic number, because the mean of its divisors is an integer number (165140614600).

Almost surely, 220479496385600 is an apocalyptic number.

20479496385600 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 20479496385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41615434879200).

20479496385600 is an abundant number, since it is smaller than the sum of its proper divisors (62751373372800).

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

20479496385600 is a wasteful number, since it uses less digits than its factorization.

20479496385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106227 (or 106209 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 20479496385600 in words is "twenty trillion, four hundred seventy-nine billion, four hundred ninety-six million, three hundred eighty-five thousand, six hundred".