Search a number
-
+
21331424023328 = 25291311671050713
BaseRepresentation
bin1001101100110100110111…
…11100111001001100100000
32210112021010121122202000202
410312122123330321030200
510243443224022221303
6113211304303404332
74331100400341536
oct466323374711440
983467117582022
1021331424023328
116884673830041
12248620a8b36a8
13bb97107b3503
1453a637018156
1526ed2c922c88
hex13669bf39320

21331424023328 has 96 divisors (see below), whose sum is σ = 44038197624960. Its totient is φ = 10158115502080.

The previous prime is 21331424023321. The next prime is 21331424023363. The reversal of 21331424023328 is 82332042413312.

It is a junction number, because it is equal to n+sod(n) for n = 21331424023291 and 21331424023300.

It is not an unprimeable number, because it can be changed into a prime (21331424023321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19776500 + ... + 20827212.

It is an arithmetic number, because the mean of its divisors is an integer number (458731225260).

Almost surely, 221331424023328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21331424023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019098812480).

21331424023328 is an abundant number, since it is smaller than the sum of its proper divisors (22706773601632).

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

21331424023328 is a wasteful number, since it uses less digits than its factorization.

21331424023328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051050 (or 1051042 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 21331424023328 in words is "twenty-one trillion, three hundred thirty-one billion, four hundred twenty-four million, twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 131 167 232 262 334 464 524 668 928 1048 1336 2096 2672 3799 4192 4843 5344 7598 9686 15196 19372 21877 30392 38744 43754 60784 77488 87508 121568 154976 175016 350032 634433 700064 1050713 1268866 2101426 2537732 4202852 5075464 8405704 10150928 16811408 20301856 30470677 33622816 60941354 121882708 137643403 175469071 243765416 275286806 350938142 487530832 550573612 701876284 975061664 1101147224 1403752568 2202294448 2807505136 3991658687 4404588896 5088603059 5615010272 7983317374 10177206118 15966634748 20354412236 22986448301 31933269496 40708824472 45972896602 63866538992 81417648944 91945793204 127733077984 162835297888 183891586408 367783172816 666607000729 735566345632 1333214001458 2666428002916 5332856005832 10665712011664 21331424023328