Search a number
-
+
69377253640 = 23517653156241
BaseRepresentation
bin100000010011100110…
…1001110000100001000
320122002000112122110121
41000213031032010020
52114041034104030
651512123153024
75004142632412
oct1004715160410
9218060478417
1069377253640
1127471718562
1211542375774
136708416596
14350202b9b2
151c10aed47a
hex102734e108

69377253640 has 64 divisors (see below), whose sum is σ = 165535274160. Its totient is φ = 26078330880.

The previous prime is 69377253587. The next prime is 69377253653. The reversal of 69377253640 is 4635277396.

It can be written as a sum of positive squares in 8 ways, for example, as 7295551396 + 62081702244 = 85414^2 + 249162^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365920 + ... + 522160.

Almost surely, 269377253640 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 69377253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82767637080).

69377253640 is an abundant number, since it is smaller than the sum of its proper divisors (96158020520).

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

69377253640 is a wasteful number, since it uses less digits than its factorization.

69377253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156922 (or 156918 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 69377253640 in words is "sixty-nine billion, three hundred seventy-seven million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 653 680 1306 2612 3265 5224 6530 11101 13060 22202 26120 44404 55505 88808 111010 156241 222020 312482 444040 624964 781205 1249928 1562410 2656097 3124820 5312194 6249640 10624388 13280485 21248776 26560970 53121940 102025373 106243880 204050746 408101492 510126865 816202984 1020253730 1734431341 2040507460 3468862682 4081014920 6937725364 8672156705 13875450728 17344313410 34688626820 69377253640