Search a number
-
+
82664000880 = 2435402785531
BaseRepresentation
bin100110011111100101…
…0001000110101110000
321220100222220100012020
41030333022020311300
52323243441012010
6101550400231440
75654330262006
oct1147712106560
9256328810166
1082664000880
113206a7453aa
121403000b580
137a45025ab6
1440028baa76
15223c2e2470
hex133f288d70

82664000880 has 80 divisors (see below), whose sum is σ = 256325034624. Its totient is φ = 22038001920.

The previous prime is 82664000857. The next prime is 82664000893. The reversal of 82664000880 is 8800046628.

It is a tau number, because it is divible by the number of its divisors (80).

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, 923715 + ... + 1009245.

Almost surely, 282664000880 is an apocalyptic number.

82664000880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82664000880 is an abundant number, since it is smaller than the sum of its proper divisors (173661033744).

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

82664000880 is a wasteful number, since it uses less digits than its factorization.

82664000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89574 (or 89568 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 82664000880 in words is "eighty-two billion, six hundred sixty-four million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4027 8054 12081 16108 20135 24162 32216 40270 48324 60405 64432 80540 85531 96648 120810 161080 171062 193296 241620 256593 322160 342124 427655 483240 513186 684248 855310 966480 1026372 1282965 1368496 1710620 2052744 2565930 3421240 4105488 5131860 6842480 10263720 20527440 344433337 688866674 1033300011 1377733348 1722166685 2066600022 2755466696 3444333370 4133200044 5166500055 5510933392 6888666740 8266400088 10333000110 13777333480 16532800176 20666000220 27554666960 41332000440 82664000880