Search a number
-
+
72677257260 = 22351771252213
BaseRepresentation
bin100001110101111100…
…1101111000000101100
320221121000002012101220
41003223321233000230
52142320334213020
653215405503340
75152003331256
oct1035371570054
9227530065356
1072677257260
1128905465083
1212103571b50
136b12cca44a
143736408cd6
151d556a2240
hex10ebe6f02c

72677257260 has 48 divisors (see below), whose sum is σ = 215466695136. Its totient is φ = 18240566272.

The previous prime is 72677257253. The next prime is 72677257307. The reversal of 72677257260 is 6275277627.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35625087 + ... + 35627126.

It is an arithmetic number, because the mean of its divisors is an integer number (4488889482).

Almost surely, 272677257260 is an apocalyptic number.

It is an amenable number.

72677257260 is an abundant number, since it is smaller than the sum of its proper divisors (142789437876).

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

72677257260 is a wasteful number, since it uses less digits than its factorization.

72677257260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71252242 (or 71252240 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 51.

The spelling of 72677257260 in words is "seventy-two billion, six hundred seventy-seven million, two hundred fifty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 71252213 142504426 213756639 285008852 356261065 427513278 712522130 855026556 1068783195 1211287621 1425044260 2137566390 2422575242 3633862863 4275132780 4845150484 6056438105 7267725726 12112876210 14535451452 18169314315 24225752420 36338628630 72677257260