Search a number
-
+
81079200976 = 2431267211373
BaseRepresentation
bin100101110000010110…
…0100110110011010000
321202021112211011102111
41023200230212303100
52312022233412401
6101125224355104
75600134560064
oct1134054466320
9252245734374
1081079200976
1131427105814
1213869315a94
1378518b2787
143cd2221aa4
1521980e6e51
hex12e0b26cd0

81079200976 has 120 divisors (see below), whose sum is σ = 165969130272. Its totient is φ = 38360044800.

The previous prime is 81079200919. The next prime is 81079201013. The reversal of 81079200976 is 67900297018.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217370326 + ... + 217370698.

Almost surely, 281079200976 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 81079200976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82984565136).

81079200976 is an abundant number, since it is smaller than the sum of its proper divisors (84889929296).

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

81079200976 is a wasteful number, since it uses less digits than its factorization.

81079200976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The spelling of 81079200976 in words is "eighty-one billion, seventy-nine million, two hundred thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 67 124 134 211 248 268 373 422 496 536 746 844 961 1072 1492 1688 1922 2077 2984 3376 3844 4154 5968 6541 7688 8308 11563 13082 14137 15376 16616 23126 24991 26164 28274 33232 46252 49982 52328 56548 64387 78703 92504 99964 104656 113096 128774 157406 185008 199928 202771 226192 257548 314812 358453 399856 405542 438247 515096 629624 716906 774721 811084 876494 1030192 1259248 1433812 1549442 1622168 1752988 2439793 2867624 3098884 3244336 3505976 4879586 5273101 5735248 6197768 7011952 9759172 10546202 12395536 13585657 19518344 21092404 24016351 27171314 39036688 42184808 48032702 54342628 75633583 84369616 96065404 108685256 151267166 163466131 192130808 217370512 302534332 326932262 384261616 605068664 653864524 1210137328 1307729048 2615458096 5067450061 10134900122 20269800244 40539600488 81079200976