Search a number
-
+
261302815956 = 223713389615137
BaseRepresentation
bin1111001101011011011…
…1001000110011010100
3220222110122100101202110
43303112313020303110
513240122010102311
6320012454111020
724610220200650
oct3632667106324
9828418311673
10261302815956
11a08aa69a166
124278594b470
131b84395bc80
14c90b9c9a60
156be52718a6
hex3cd6dc8cd4

261302815956 has 96 divisors (see below), whose sum is σ = 752338379520. Its totient is φ = 68737757184.

The previous prime is 261302815937. The next prime is 261302816009. The reversal of 261302815956 is 659518203162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117220 + ... + 732356.

It is an arithmetic number, because the mean of its divisors is an integer number (7836858120).

Almost surely, 2261302815956 is an apocalyptic number.

261302815956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261302815956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376169189760).

261302815956 is an abundant number, since it is smaller than the sum of its proper divisors (491035563564).

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

261302815956 is a wasteful number, since it uses less digits than its factorization.

261302815956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615553 (or 615551 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 261302815956 in words is "two hundred sixty-one billion, three hundred two million, eight hundred fifteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 389 546 778 1092 1167 1556 2334 2723 4668 5057 5446 8169 10114 10892 15171 16338 20228 30342 32676 35399 60684 70798 106197 141596 212394 424788 615137 1230274 1845411 2460548 3690822 4305959 7381644 7996781 8611918 12917877 15993562 17223836 23990343 25835754 31987124 47980686 51671508 55977467 95961372 111954934 167932401 223909868 239288293 335864802 478576586 671729604 717864879 957153172 1435729758 1675018051 2871459516 3110747809 3350036102 5025054153 6221495618 6700072204 9332243427 10050108306 12442991236 18664486854 20100216612 21775234663 37328973708 43550469326 65325703989 87100938652 130651407978 261302815956