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5211434016 = 253237489061
BaseRepresentation
bin1001101101010000…
…00010110000100000
3111110012020021111200
410312220002300200
541133111342031
62221043041200
7243100313115
oct46650026040
914405207450
105211434016
11223479a568
121015370200
136508ba389
143761bc90c
152077bd8e6
hex136a02c20

5211434016 has 72 divisors (see below), whose sum is σ = 15220587564. Its totient is φ = 1690191360.

The previous prime is 5211433987. The next prime is 5211434077. The reversal of 5211434016 is 6104341125.

It is a happy number.

5211434016 is a `hidden beast` number, since 5 + 211 + 43 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5072288400 + 139145616 = 71220^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233875 + ... + 255186.

Almost surely, 25211434016 is an apocalyptic number.

It is an amenable number.

5211434016 is an abundant number, since it is smaller than the sum of its proper divisors (10009153548).

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

5211434016 is a wasteful number, since it uses less digits than its factorization.

5211434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489114 (or 489103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5211434016 is about 72190.2626120726. The cubic root of 5211434016 is about 1733.7471005635.

The spelling of 5211434016 in words is "five billion, two hundred eleven million, four hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 489061 978122 1467183 1956244 2934366 3912488 4401549 5868732 7824976 8803098 11737464 15649952 17606196 18095257 23474928 35212392 36190514 46949856 54285771 70424784 72381028 108571542 140849568 144762056 162857313 217143084 289524112 325714626 434286168 579048224 651429252 868572336 1302858504 1737144672 2605717008 5211434016