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20204132032 = 267295472843
BaseRepresentation
bin10010110100010000…
…101001011011000000
31221011001122020202101
4102310100221123000
5312334224211112
613140500400144
71313451201010
oct226420513300
957131566671
1020204132032
118628784487
123aba3a6054
131b9ca7a916
14d99461c40
157d3b3e757
hex4b44296c0

20204132032 has 112 divisors (see below), whose sum is σ = 47503445760. Its totient is φ = 8342111232.

The previous prime is 20204132027. The next prime is 20204132033. The reversal of 20204132032 is 23023140202.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (20204132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7105203 + ... + 7108045.

Almost surely, 220204132032 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 20204132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23751722880).

20204132032 is an abundant number, since it is smaller than the sum of its proper divisors (27299313728).

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

20204132032 is a wasteful number, since it uses less digits than its factorization.

20204132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20204132032 its reverse (23023140202), we get a palindrome (43227272234).

The spelling of 20204132032 in words is "twenty billion, two hundred four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 547 812 928 1094 1624 1856 2188 2843 3248 3829 4376 5686 6496 7658 8752 11372 12992 15316 15863 17504 19901 22744 30632 31726 35008 39802 45488 61264 63452 79604 82447 90976 111041 122528 126904 159208 164894 181952 222082 245056 253808 318416 329788 444164 507616 577129 636832 659576 888328 1015232 1154258 1273664 1319152 1555121 1776656 2308516 2638304 3110242 3553312 4617032 5276608 6220484 7106624 9234064 10885847 12440968 18468128 21771694 24881936 36936256 43543388 45098509 49763872 87086776 90197018 99527744 174173552 180394036 315689563 348347104 360788072 631379126 696694208 721576144 1262758252 1443152288 2525516504 2886304576 5051033008 10102066016 20204132032