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21092862024 = 2334133137259
BaseRepresentation
bin10011101001001110…
…111000100001001000
32000102222221102010000
4103221032320201020
5321144233041044
613405005123000
71344462240363
oct235116704110
960388842100
1021092862024
118a44409483
124107b59460
131cb1c29660
1410414c70da
15836b91d69
hex4e93b8848

21092862024 has 480 divisors, whose sum is σ = 68643590400. Its totient is φ = 6007426560.

The previous prime is 21092862017. The next prime is 21092862071. The reversal of 21092862024 is 42026829012.

21092862024 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 2 + 8 + 620 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21092862024.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 357506107 + ... + 357506165.

It is an arithmetic number, because the mean of its divisors is an integer number (143007480).

Almost surely, 221092862024 is an apocalyptic number.

21092862024 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 21092862024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34321795200).

21092862024 is an abundant number, since it is smaller than the sum of its proper divisors (47550728376).

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

21092862024 is a wasteful number, since it uses less digits than its factorization.

21092862024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21092862024 in words is "twenty-one billion, ninety-two million, eight hundred sixty-two thousand, twenty-four".