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5319608832 = 29321736673
BaseRepresentation
bin1001111010001001…
…01100101000000000
3111201201210010110100
410331010230220000
541343304440312
62235505402400
7245552633436
oct47504545000
914651703410
105319608832
11228a86493a
121045639400
1366a133a45
143866dad56
1521203a5dc
hex13d12ca00

5319608832 has 120 divisors (see below), whose sum is σ = 15443809524. Its totient is φ = 1762689024.

The previous prime is 5319608759. The next prime is 5319608867. The reversal of 5319608832 is 2388069135.

It is a happy number.

5319608832 is a `hidden beast` number, since 5 + 3 + 1 + 9 + 608 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5302169856 + 17438976 = 72816^2 + 4176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793848 + ... + 800520.

Almost surely, 25319608832 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 5319608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721904762).

5319608832 is an abundant number, since it is smaller than the sum of its proper divisors (10124200692).

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

5319608832 is a wasteful number, since it uses less digits than its factorization.

5319608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5319608832 is about 72935.6485677614. The cubic root of 5319608832 is about 1745.6609600585.

The spelling of 5319608832 in words is "five billion, three hundred nineteen million, six hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1038 1152 1384 1536 1557 2076 2304 2768 3114 4152 4608 5536 6228 6673 8304 11072 12456 13346 16608 20019 22144 24912 26692 33216 40038 44288 49824 53384 60057 66432 80076 88576 99648 106768 120114 132864 160152 199296 213536 240228 265728 320304 398592 427072 480456 640608 797184 854144 960912 1154429 1281216 1708288 1921824 2308858 2562432 3416576 3463287 3843648 4617716 5124864 6926574 7687296 9235432 10249728 10389861 13853148 15374592 18470864 20779722 27706296 30749184 36941728 41559444 55412592 73883456 83118888 110825184 147766912 166237776 221650368 295533824 332475552 443300736 591067648 664951104 886601472 1329902208 1773202944 2659804416 5319608832