Search a number
-
+
72809026944 = 273227383417
BaseRepresentation
bin100001111001111000…
…0011001010110000000
320221221012000210102120
41003303300121112000
52143103102330234
653240434044240
75155163342403
oct1036360312600
9227835023376
1072809026944
1128972885645
121213b719680
136b343b5584
143749b09d3a
151d62030049
hex10f3c19580

72809026944 has 64 divisors (see below), whose sum is σ = 193486382640. Its totient is φ = 24258707456.

The previous prime is 72809026937. The next prime is 72809026949. The reversal of 72809026944 is 44962090827.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72809026949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831124 + ... + 914540.

Almost surely, 272809026944 is an apocalyptic number.

It is an amenable number.

72809026944 is an abundant number, since it is smaller than the sum of its proper divisors (120677355696).

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

72809026944 is a wasteful number, since it uses less digits than its factorization.

72809026944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85707 (or 85695 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 72809026944 in words is "seventy-two billion, eight hundred nine million, twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2273 4546 6819 9092 13638 18184 27276 36368 54552 72736 83417 109104 145472 166834 218208 250251 290944 333668 436416 500502 667336 872832 1001004 1334672 2002008 2669344 4004016 5338688 8008032 10677376 16016064 32032128 189606841 379213682 568820523 758427364 1137641046 1516854728 2275282092 3033709456 4550564184 6067418912 9101128368 12134837824 18202256736 24269675648 36404513472 72809026944