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5357329824 = 253711724747
BaseRepresentation
bin1001111110101001…
…00101110110100000
3111211100202112221010
410333110211312200
541432434023244
62243334100520
7246521360250
oct47724456640
914740675833
105357329824
1122aa089210
1210561aa740
13674bb0162
1438b719960
152154dbeb9
hex13f525da0

5357329824 has 96 divisors (see below), whose sum is σ = 17533103616. Its totient is φ = 1391512320.

The previous prime is 5357329823. The next prime is 5357329841. The reversal of 5357329824 is 4289237535.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5357329823) 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 15 ways as a sum of consecutive naturals, for example, 354982 + ... + 369765.

It is an arithmetic number, because the mean of its divisors is an integer number (182636496).

Almost surely, 25357329824 is an apocalyptic number.

It is an amenable number.

5357329824 is an abundant number, since it is smaller than the sum of its proper divisors (12175773792).

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

5357329824 is a wasteful number, since it uses less digits than its factorization.

5357329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724778 (or 724770 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 5357329824 is about 73193.7826867829. The cubic root of 5357329824 is about 1749.7773674877. Note that the first 3 decimals are identical.

The spelling of 5357329824 in words is "five billion, three hundred fifty-seven million, three hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 724747 1449494 2174241 2898988 4348482 5073229 5797976 7972217 8696964 10146458 11595952 15219687 15944434 17393928 20292916 23191904 23916651 30439374 31888868 34787856 40585832 47833302 55805519 60878748 63777736 69575712 81171664 95666604 111611038 121757496 127555472 162343328 167416557 191333208 223222076 243514992 255110944 334833114 382666416 446444152 487029984 669666228 765332832 892888304 1339332456 1785776608 2678664912 5357329824