Search a number
-
+
5505413360 = 245297093347
BaseRepresentation
bin1010010000010010…
…11111000011110000
3112012200101222100112
411020021133003300
542233341211420
62310144040452
7253300145546
oct51011370360
915180358315
105505413360
1123757315a7
121097903128
1369978a955
143a3265d96
152234dd8c5
hex14825f0f0

5505413360 has 80 divisors (see below), whose sum is σ = 13264106400. Its totient is φ = 2122595328.

The previous prime is 5505413359. The next prime is 5505413413. The reversal of 5505413360 is 633145055.

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

It is a congruent number.

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, 1643207 + ... + 1646553.

It is an arithmetic number, because the mean of its divisors is an integer number (165801330).

Almost surely, 25505413360 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 5505413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632053200).

5505413360 is an abundant number, since it is smaller than the sum of its proper divisors (7758693040).

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

5505413360 is a wasteful number, since it uses less digits than its factorization.

5505413360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 5505413360 is about 74198.4727605629. The cubic root of 5505413360 is about 1765.7531003870.

The spelling of 5505413360 in words is "five billion, five hundred five million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 709 1160 1418 2320 2836 3347 3545 5672 6694 7090 11344 13388 14180 16735 20561 26776 28360 33470 41122 53552 56720 66940 82244 97063 102805 133880 164488 194126 205610 267760 328976 388252 411220 485315 776504 822440 970630 1553008 1644880 1941260 2373023 3882520 4746046 7765040 9492092 11865115 18984184 23730230 37968368 47460460 68817667 94920920 137635334 189841840 275270668 344088335 550541336 688176670 1101082672 1376353340 2752706680 5505413360