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5881083552 = 2532197103657
BaseRepresentation
bin1010111101000101…
…00011011010100000
3120011212021222222100
411132202203122200
544021024133202
62411324010400
7265511246121
oct53642433240
916155258870
105881083552
11254879a133
121181690a00
137295610c6
143db0d6048
1524649841c
hex15e8a36a0

5881083552 has 72 divisors (see below), whose sum is σ = 16809388596. Its totient is φ = 1950391296.

The previous prime is 5881083487. The next prime is 5881083557. The reversal of 5881083552 is 2553801885.

5881083552 is a `hidden beast` number, since 5 + 8 + 8 + 10 + 83 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5874302736 + 6780816 = 76644^2 + 2604^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5881083498 and 5881083507.

It is not an unprimeable number, because it can be changed into a prime (5881083557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4908 + ... + 108564.

Almost surely, 25881083552 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 5881083552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404694298).

5881083552 is an abundant number, since it is smaller than the sum of its proper divisors (10928305044).

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

5881083552 is a wasteful number, since it uses less digits than its factorization.

5881083552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103870 (or 103859 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 5881083552 is about 76688.2230332663. The cubic root of 5881083552 is about 1805.0356473752.

The spelling of 5881083552 in words is "five billion, eight hundred eighty-one million, eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 14184 18912 28368 56736 103657 207314 310971 414628 621942 829256 932913 1243884 1658512 1865826 2487768 3317024 3731652 4975536 7463304 9951072 14926608 20420429 29853216 40840858 61261287 81681716 122522574 163363432 183783861 245045148 326726864 367567722 490090296 653453728 735135444 980180592 1470270888 1960361184 2940541776 5881083552