Search a number
-
+
72680183772 = 22373449250867
BaseRepresentation
bin100001110110000010…
…0111001011111011100
320221121012120212211020
41003230010321133130
52142322111340042
653215552324140
75152040240340
oct1035404713734
9227535525736
1072680183772
1128907083889
1212104543650
136b137b3501
14373696b620
151d55a7e3ec
hex10ec1397dc

72680183772 has 48 divisors (see below), whose sum is σ = 193870790400. Its totient is φ = 20759663232.

The previous prime is 72680183761. The next prime is 72680183777. The reversal of 72680183772 is 27738108627.

It is a happy number.

It is a super-2 number, since 2×726801837722 (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 (72680183777) by changing a digit.

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, 164283 + ... + 415149.

It is an arithmetic number, because the mean of its divisors is an integer number (4038974800).

Almost surely, 272680183772 is an apocalyptic number.

It is an amenable number.

72680183772 is an abundant number, since it is smaller than the sum of its proper divisors (121190606628).

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

72680183772 is a wasteful number, since it uses less digits than its factorization.

72680183772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254330 (or 254328 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 72680183772 in words is "seventy-two billion, six hundred eighty million, one hundred eighty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 3449 6898 10347 13796 20694 24143 41388 48286 72429 96572 144858 250867 289716 501734 752601 1003468 1505202 1756069 3010404 3512138 5268207 7024276 10536414 21072828 865240283 1730480566 2595720849 3460961132 5191441698 6056681981 10382883396 12113363962 18170045943 24226727924 36340091886 72680183772