Search a number
-
+
21908234331264 = 27388364612337
BaseRepresentation
bin1001111101100111010001…
…00001100110010010000000
32212120101222112000101100010
410332303220201212102000
510332421030442100024
6114332300502224520
74420550320144101
oct476635041462200
985511875011303
1021908234331264
116a87259151776
122559b67425140
13c2bc25c96328
1455a5155123a8
1527ed3b9b0b29
hex13ece8866480

21908234331264 has 64 divisors (see below), whose sum is σ = 58259652927840. Its totient is φ = 7294474285056.

The previous prime is 21908234331259. The next prime is 21908234331349. The reversal of 21908234331264 is 46213343280912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31967097 + ... + 32645240.

Almost surely, 221908234331264 is an apocalyptic number.

21908234331264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21908234331264 is an abundant number, since it is smaller than the sum of its proper divisors (36351418596576).

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

21908234331264 is an equidigital number, since it uses as much as digits as its factorization.

21908234331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64613237 (or 64613225 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 21908234331264 in words is "twenty-one trillion, nine hundred eight billion, two hundred thirty-four million, three hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 883 1766 2649 3532 5298 7064 10596 14128 21192 28256 42384 56512 84768 113024 169536 339072 64612337 129224674 193837011 258449348 387674022 516898696 775348044 1033797392 1550696088 2067594784 3101392176 4135189568 6202784352 8270379136 12405568704 24811137408 57052693571 114105387142 171158080713 228210774284 342316161426 456421548568 684632322852 912843097136 1369264645704 1825686194272 2738529291408 3651372388544 5477058582816 7302744777088 10954117165632 21908234331264