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82240120992 = 2531750392231
BaseRepresentation
bin100110010010111100…
…1001010100010100000
321212021110022000022010
41030211321022202200
52321411432332432
6101440335112520
75640662331411
oct1144571124240
9255243260263
1082240120992
113197244a147
1213b32072740
1379a82730b3
143da249b808
152214eb33cc
hex1325e4a8a0

82240120992 has 48 divisors (see below), whose sum is σ = 228579164352. Its totient is φ = 25800821760.

The previous prime is 82240120981. The next prime is 82240121011. The reversal of 82240120992 is 29902104228.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82240120992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25194484 + ... + 25197747.

It is an arithmetic number, because the mean of its divisors is an integer number (4762065924).

Almost surely, 282240120992 is an apocalyptic number.

It is an amenable number.

82240120992 is an abundant number, since it is smaller than the sum of its proper divisors (146339043360).

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

82240120992 is a wasteful number, since it uses less digits than its factorization.

82240120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50392261 (or 50392253 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 82240120992 in words is "eighty-two billion, two hundred forty million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 50392231 100784462 151176693 201568924 302353386 403137848 604706772 806275696 856667927 1209413544 1612551392 1713335854 2418827088 2570003781 3426671708 4837654176 5140007562 6853343416 10280015124 13706686832 20560030248 27413373664 41120060496 82240120992