Search a number
-
+
71732676608 = 211196073037
BaseRepresentation
bin100001011001110011…
…0011100100000000000
320212011011200112100022
41002303212130200000
52133402031122413
652541544113012
75116413455645
oct1026346344000
9225134615308
1071732676608
112847025370a
1211a9b165768
1369c23c5298
143686ba5dcc
151cec7bb608
hex10b399c800

71732676608 has 96 divisors (see below), whose sum is σ = 151277817600. Its totient is φ = 33911488512.

The previous prime is 71732676563. The next prime is 71732676611. The reversal of 71732676608 is 80667623717.

It is a self number, because there is not a number n which added to its sum of digits gives 71732676608.

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 7 ways as a sum of consecutive naturals, for example, 23618066 + ... + 23621102.

It is an arithmetic number, because the mean of its divisors is an integer number (1575810600).

Almost surely, 271732676608 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 71732676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75638908800).

71732676608 is an abundant number, since it is smaller than the sum of its proper divisors (79545140992).

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

71732676608 is a wasteful number, since it uses less digits than its factorization.

71732676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 53.

The spelling of 71732676608 in words is "seventy-one billion, seven hundred thirty-two million, six hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 607 608 1024 1214 1216 2048 2428 2432 3037 4856 4864 6074 9712 9728 11533 12148 19424 19456 23066 24296 38848 38912 46132 48592 57703 77696 92264 97184 115406 155392 184528 194368 230812 310784 369056 388736 461624 621568 738112 777472 923248 1243136 1476224 1554944 1843459 1846496 2952448 3109888 3686918 3692992 5904896 6219776 7373836 7385984 11809792 14747672 14771968 23619584 29495344 29543936 35025721 58990688 59087872 70051442 117981376 118175744 140102884 235962752 280205768 471925504 560411536 943851008 1120823072 1887702016 2241646144 3775404032 4483292288 8966584576 17933169152 35866338304 71732676608