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3133554320 = 245135935081
BaseRepresentation
bin1011101011000110…
…0011111010010000
322002101100001102102
42322301203322100
522404142214240
61234534535532
7140436525611
oct27261437220
98071301372
103133554320
11136889a816
127355075a8
133ac275a70
1421a24dc08
15135175815
hexbac63e90

3133554320 has 80 divisors (see below), whose sum is σ = 7860715632. Its totient is φ = 1154826240.

The previous prime is 3133554317. The next prime is 3133554331. The reversal of 3133554320 is 234553313.

3133554320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 501043456 + 2632510864 = 22384^2 + 51308^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614180 + ... + 619260.

Almost surely, 23133554320 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 3133554320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930357816).

3133554320 is an abundant number, since it is smaller than the sum of its proper divisors (4727161312).

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

3133554320 is a wasteful number, since it uses less digits than its factorization.

3133554320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

The square root of 3133554320 is about 55978.1593123604. The cubic root of 3133554320 is about 1463.3416794903.

The spelling of 3133554320 in words is "three billion, one hundred thirty-three million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 593 1040 1186 2372 2965 4744 5081 5930 7709 9488 10162 11860 15418 20324 23720 25405 30836 38545 40648 47440 50810 61672 66053 77090 81296 101620 123344 132106 154180 203240 264212 308360 330265 406480 528424 616720 660530 1056848 1321060 2642120 3013033 5284240 6026066 12052132 15065165 24104264 30130330 39169429 48208528 60260660 78338858 120521320 156677716 195847145 241042640 313355432 391694290 626710864 783388580 1566777160 3133554320