Search a number
-
+
82340973760 = 2651791437517
BaseRepresentation
bin100110010101111100…
…1111000110011000000
321212112111001212021211
41030223321320303000
52322113242130020
6101454340455504
75643325504663
oct1145371706300
9255474055254
1082340973760
1131a14373341
1213b5b9aa594
1379c3124aa6
143db1a316da
15221dc8585a
hex132be78cc0

82340973760 has 56 divisors (see below), whose sum is σ = 197169968880. Its totient is φ = 32752364544.

The previous prime is 82340973749. The next prime is 82340973763. The reversal of 82340973760 is 6737904328.

It is not an unprimeable number, because it can be changed into a prime (82340973763) 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, 661479 + ... + 776038.

Almost surely, 282340973760 is an apocalyptic number.

82340973760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82340973760 is an abundant number, since it is smaller than the sum of its proper divisors (114828995120).

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

82340973760 is a wasteful number, since it uses less digits than its factorization.

82340973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437713 (or 1437703 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 82340973760 in words is "eighty-two billion, three hundred forty million, nine hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 179 320 358 716 895 1432 1790 2864 3580 5728 7160 11456 14320 28640 57280 1437517 2875034 5750068 7187585 11500136 14375170 23000272 28750340 46000544 57500680 92001088 115001360 230002720 257315543 460005440 514631086 1029262172 1286577715 2058524344 2573155430 4117048688 5146310860 8234097376 10292621720 16468194752 20585243440 41170486880 82340973760