Search a number
-
+
72423667767 = 31117653197699
BaseRepresentation
bin100001101110011001…
…0010111100000110111
320220221022220112000110
41003130302113200313
52141310424332032
653134310314103
75142504006303
oct1033462274067
9226838815013
1072423667767
11287952aa590
1212052658933
136aa25cbca9
143710876d03
151d3d2ae7cc
hex10dcc97837

72423667767 has 32 divisors (see below), whose sum is σ = 111711571200. Its totient is φ = 41247710720.

The previous prime is 72423667751. The next prime is 72423667859. The reversal of 72423667767 is 76776632427.

It is a cyclic number.

It is not a de Polignac number, because 72423667767 - 24 = 72423667751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72423667067) 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 31 ways as a sum of consecutive naturals, for example, 267484 + ... + 465182.

It is an arithmetic number, because the mean of its divisors is an integer number (3490986600).

Almost surely, 272423667767 is an apocalyptic number.

72423667767 is a deficient number, since it is larger than the sum of its proper divisors (39287903433).

72423667767 is a wasteful number, since it uses less digits than its factorization.

72423667767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198383.

The product of its digits is 24893568, while the sum is 57.

The spelling of 72423667767 in words is "seventy-two billion, four hundred twenty-three million, six hundred sixty-seven thousand, seven hundred sixty-seven".

Divisors: 1 3 11 17 33 51 187 561 653 1959 7183 11101 21549 33303 122111 197699 366333 593097 2174689 3360883 6524067 10082649 36969713 110909139 129097447 387292341 1420071917 2194656599 4260215751 6583969797 24141222589 72423667767