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20032914144 = 2533730718371
BaseRepresentation
bin10010101010000011…
…100000001011100000
31220201010110110222010
4102222003200023200
5312011411223034
613111502512520
71306301650335
oct225203401340
956633413863
1020032914144
11855006a9a1
123a70b95740
131b73460169
14d8081298c
157c3abd3e9
hex4aa0e02e0

20032914144 has 96 divisors (see below), whose sum is σ = 54186523776. Its totient is φ = 6475645440.

The previous prime is 20032914137. The next prime is 20032914149. The reversal of 20032914144 is 44141923002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032914149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081279 + ... + 1099649.

It is an arithmetic number, because the mean of its divisors is an integer number (564442956).

Almost surely, 220032914144 is an apocalyptic number.

20032914144 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 20032914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27093261888).

20032914144 is an abundant number, since it is smaller than the sum of its proper divisors (34153609632).

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

20032914144 is a wasteful number, since it uses less digits than its factorization.

20032914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728 (or 18720 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20032914144 in words is "twenty billion, thirty-two million, nine hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 307 444 592 614 888 921 1184 1228 1776 1842 2456 3552 3684 4912 7368 9824 11359 14736 18371 22718 29472 34077 36742 45436 55113 68154 73484 90872 110226 136308 146968 181744 220452 272616 293936 363488 440904 545232 587872 679727 881808 1090464 1359454 1763616 2039181 2718908 4078362 5437816 5639897 8156724 10875632 11279794 16313448 16919691 21751264 22559588 32626896 33839382 45119176 65253792 67678764 90238352 135357528 180476704 208676189 270715056 417352378 541430112 626028567 834704756 1252057134 1669409512 2504114268 3338819024 5008228536 6677638048 10016457072 20032914144