Search a number
-
+
81816376704 = 2732398631033
BaseRepresentation
bin100110000110010100…
…0101101010110000000
321211011220221120102020
41030030220231112000
52320024443023304
6101330320521440
75624325504336
oct1141450552600
9254156846366
1081816376704
1131775236857
1213a34180280
13793b53a02a
143d620b5b56
1521dcbae5d9
hex130ca2d580

81816376704 has 128 divisors (see below), whose sum is σ = 218698444800. Its totient is φ = 27100286976.

The previous prime is 81816376693. The next prime is 81816376721. The reversal of 81816376704 is 40767361818.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79202172 + ... + 79203204.

It is an arithmetic number, because the mean of its divisors is an integer number (1708581600).

Almost surely, 281816376704 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 81816376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109349222400).

81816376704 is an abundant number, since it is smaller than the sum of its proper divisors (136882068096).

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

81816376704 is a wasteful number, since it uses less digits than its factorization.

81816376704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 81816376704 in words is "eighty-one billion, eight hundred sixteen million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 863 956 1033 1434 1726 1912 2066 2589 2868 3099 3452 3824 4132 5178 5736 6198 6904 7648 8264 10356 11472 12396 13808 15296 16528 20712 22944 24792 27616 30592 33056 41424 45888 49584 55232 66112 82848 91776 99168 110464 132224 165696 198336 206257 246887 331392 396672 412514 493774 618771 740661 825028 891479 987548 1237542 1481322 1650056 1782958 1975096 2475084 2674437 2962644 3300112 3565916 3950192 4950168 5348874 5925288 6600224 7131832 7900384 9900336 10697748 11850576 13200448 14263664 15800768 19800672 21395496 23701152 26400896 28527328 31601536 39601344 42790992 47402304 57054656 79202688 85581984 94804608 114109312 171163968 213063481 342327936 426126962 639190443 852253924 1278380886 1704507848 2556761772 3409015696 5113523544 6818031392 10227047088 13636062784 20454094176 27272125568 40908188352 81816376704