Search a number
-
+
72265813688 = 2347211910883
BaseRepresentation
bin100001101001101100…
…0001100111010111000
320220112022212200221002
41003103120030322320
52141000022014223
653110511104132
75135546165315
oct1032330147270
9226468780832
1072265813688
1128714193472
1212009812048
136a789b0203
1436d7905d0c
151d2e4cce28
hex10d360ceb8

72265813688 has 32 divisors (see below), whose sum is σ = 139037333760. Its totient is φ = 35196480480.

The previous prime is 72265813681. The next prime is 72265813703. The reversal of 72265813688 is 88631856227.

It is a happy number.

It is a super-2 number, since 2×722658136882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72265813681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376106 + ... + 534777.

It is an arithmetic number, because the mean of its divisors is an integer number (4344916680).

Almost surely, 272265813688 is an apocalyptic number.

It is an amenable number.

72265813688 is a deficient number, since it is larger than the sum of its proper divisors (66771520072).

72265813688 is a wasteful number, since it uses less digits than its factorization.

72265813688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911147 (or 911143 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 56.

The spelling of 72265813688 in words is "seventy-two billion, two hundred sixty-five million, eight hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 47 94 188 211 376 422 844 1688 9917 19834 39668 79336 910883 1821766 3643532 7287064 42811501 85623002 171246004 192196313 342492008 384392626 768785252 1537570504 9033226711 18066453422 36132906844 72265813688