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5357537120 = 255138331033
BaseRepresentation
bin1001111110101010…
…11000011101100000
3111211101011002021202
410333111120131200
541433012141440
62243342340332
7246523212515
oct47725303540
914741132252
105357537120
1122aa20aa31
12105628a6a8
13674c53610
1438b77130c
1521552d615
hex13f558760

5357537120 has 96 divisors (see below), whose sum is σ = 13795481952. Its totient is φ = 1954271232.

The previous prime is 5357537093. The next prime is 5357537167. The reversal of 5357537120 is 217357535.

It is a congruent number.

It is an unprimeable number.

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, 157124 + ... + 188156.

It is an arithmetic number, because the mean of its divisors is an integer number (143702937).

Almost surely, 25357537120 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 5357537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897740976).

5357537120 is an abundant number, since it is smaller than the sum of its proper divisors (8437944832).

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

5357537120 is a wasteful number, since it uses less digits than its factorization.

5357537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31144 (or 31136 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 38.

The square root of 5357537120 is about 73195.1987496448. The cubic root of 5357537120 is about 1749.7999357685.

The spelling of 5357537120 in words is "five billion, three hundred fifty-seven million, five hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 208 260 332 415 416 520 664 830 1040 1079 1328 1660 2080 2158 2656 3320 4316 5395 6640 8632 10790 13280 17264 21580 31033 34528 43160 62066 86320 124132 155165 172640 248264 310330 403429 496528 620660 806858 993056 1241320 1613716 2017145 2482640 2575739 3227432 4034290 4965280 5151478 6454864 8068580 10302956 12878695 12909728 16137160 20605912 25757390 32274320 33484607 41211824 51514780 64548640 66969214 82423648 103029560 133938428 167423035 206059120 267876856 334846070 412118240 535753712 669692140 1071507424 1339384280 2678768560 5357537120