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21115010432 = 27296193251
BaseRepresentation
bin10011101010100011…
…010111110110000000
32000111112121200000102
4103222203113312000
5321220420313212
613411115541532
71345151425115
oct235243276600
960445550012
1021115010432
118a5596694a
12411345a8a8
131cb66b2919
14104441090c
15838ab95c2
hex4ea8d7d80

21115010432 has 64 divisors (see below), whose sum is σ = 44229423600. Its totient is φ = 10026240000.

The previous prime is 21115010431. The next prime is 21115010467. The reversal of 21115010432 is 23401051112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21115010431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179807 + ... + 273057.

Almost surely, 221115010432 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 21115010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22114711800).

21115010432 is an abundant number, since it is smaller than the sum of its proper divisors (23114413168).

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

21115010432 is an equidigital number, since it uses as much as digits as its factorization.

21115010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93355 (or 93343 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 21115010432 its reverse (23401051112), we get a palindrome (44516061544).

The spelling of 21115010432 in words is "twenty-one billion, one hundred fifteen million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 464 488 928 976 1769 1856 1952 3538 3712 3904 7076 7808 14152 28304 56608 93251 113216 186502 226432 373004 746008 1492016 2704279 2984032 5408558 5688311 5968064 10817116 11376622 11936128 21634232 22753244 43268464 45506488 86536928 91012976 164961019 173073856 182025952 329922038 346147712 364051904 659844076 728103808 1319688152 2639376304 5278752608 10557505216 21115010432