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5339426176 = 27729673067
BaseRepresentation
bin1001111100100000…
…10010110110000000
3111210010001221202001
410332100102312000
541413343114201
62241454233344
7246213242110
oct47620226600
914703057661
105339426176
11229aa6aa07
1210501b5854
13671281c96
143891b9040
15213b52301
hex13e412d80

5339426176 has 128 divisors (see below), whose sum is σ = 12767788800. Its totient is φ = 2175731712.

The previous prime is 5339426173. The next prime is 5339426179. The reversal of 5339426176 is 6716249335.

It is an interprime number because it is at equal distance from previous prime (5339426173) and next prime (5339426179).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5339426171) 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, 1739395 + ... + 1742461.

It is an arithmetic number, because the mean of its divisors is an integer number (99748350).

Almost surely, 25339426176 is an apocalyptic number.

5339426176 is a gapful number since it is divisible by the number (56) 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 5339426176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383894400).

5339426176 is an abundant number, since it is smaller than the sum of its proper divisors (7428362624).

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

5339426176 is a wasteful number, since it uses less digits than its factorization.

5339426176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3172 counting only the distinct ones).

The product of its digits is 816480, while the sum is 46.

The square root of 5339426176 is about 73071.3772690785. The cubic root of 5339426176 is about 1747.8259998173.

The spelling of 5339426176 in words is "five billion, three hundred thirty-nine million, four hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 67 112 116 128 134 203 224 232 268 406 448 464 469 536 812 896 928 938 1072 1624 1856 1876 1943 2144 3067 3248 3712 3752 3886 4288 6134 6496 7504 7772 8576 12268 12992 13601 15008 15544 21469 24536 25984 27202 30016 31088 42938 49072 54404 60032 62176 85876 88943 98144 108808 124352 171752 177886 196288 205489 217616 248704 343504 355772 392576 410978 435232 622601 687008 711544 821956 870464 1245202 1374016 1423088 1438423 1643912 1740928 2490404 2748032 2846176 2876846 3287824 4980808 5692352 5753692 5959181 6575648 9961616 11384704 11507384 11918362 13151296 19923232 23014768 23836724 26302592 39846464 41714267 46029536 47673448 79692928 83428534 92059072 95346896 166857068 184118144 190693792 333714136 381387584 667428272 762775168 1334856544 2669713088 5339426176