Search a number
-
+
82360376544 = 2531750465917
BaseRepresentation
bin100110010110100001…
…1111001110011100000
321212120211120121220110
41030231003321303200
52322133224022134
6101500312411320
75643652435605
oct1145503716340
9255524517813
1082360376544
1131a243159a6
1213b663a6b40
1379c7159424
143db44426ac
1522208197e9
hex132d0f9ce0

82360376544 has 48 divisors (see below), whose sum is σ = 228913404048. Its totient is φ = 25838548992.

The previous prime is 82360376491. The next prime is 82360376587. The reversal of 82360376544 is 44567306328.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 82360376493 and 82360376502.

It is a congruent number.

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, 25231327 + ... + 25234590.

It is an arithmetic number, because the mean of its divisors is an integer number (4769029251).

Almost surely, 282360376544 is an apocalyptic number.

It is an amenable number.

82360376544 is an abundant number, since it is smaller than the sum of its proper divisors (146553027504).

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

82360376544 is a wasteful number, since it uses less digits than its factorization.

82360376544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50465947 (or 50465939 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 82360376544 in words is "eighty-two billion, three hundred sixty million, three hundred seventy-six thousand, five hundred forty-four".

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 50465917 100931834 151397751 201863668 302795502 403727336 605591004 807454672 857920589 1211182008 1614909344 1715841178 2422364016 2573761767 3431682356 4844728032 5147523534 6863364712 10295047068 13726729424 20590094136 27453458848 41180188272 82360376544