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21331114398 = 2331152168927
BaseRepresentation
bin10011110111011011…
…101111100110011110
32001001121020212221000
4103313123233212132
5322141231130043
613444355451130
71353414323616
oct236733574636
961047225830
1021331114398
119056948a70
1241738b6aa6
13201c3b7ba9
141064dc5a46
1584ca552d3
hex4f76ef99e

21331114398 has 64 divisors (see below), whose sum is σ = 51811799040. Its totient is φ = 6451473600.

The previous prime is 21331114397. The next prime is 21331114451. The reversal of 21331114398 is 89341113312.

21331114398 is a `hidden beast` number, since 213 + 3 + 1 + 1 + 1 + 439 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331114397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275011 + ... + 343937.

It is an arithmetic number, because the mean of its divisors is an integer number (809559360).

Almost surely, 221331114398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21331114398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25905899520).

21331114398 is an abundant number, since it is smaller than the sum of its proper divisors (30480684642).

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

21331114398 is a wasteful number, since it uses less digits than its factorization.

21331114398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69470 (or 69464 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 21331114398 in words is "twenty-one billion, three hundred thirty-one million, one hundred fourteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 521 594 1042 1563 3126 4689 5731 9378 11462 14067 17193 28134 34386 51579 68927 103158 137854 154737 206781 309474 413562 620343 758197 1240686 1516394 1861029 2274591 3722058 4549182 6823773 13647546 20471319 35910967 40942638 71821934 107732901 215465802 323198703 395020637 646397406 790041274 969596109 1185061911 1939192218 2370123822 3555185733 7110371466 10665557199 21331114398