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82946512140 = 22353144594899
BaseRepresentation
bin100110100111111111…
…1110101010100001100
321221002200111101210020
41031033333311110030
52324333301342030
6102034411342140
75664330502002
oct1151777652414
9257080441706
1082946512140
11321a5164288
12140aa751950
137a8b70c51b
14402c21aa72
152256ee9510
hex134fff550c

82946512140 has 48 divisors (see below), whose sum is σ = 239742182400. Its totient is φ = 21405551040.

The previous prime is 82946512127. The next prime is 82946512147. The reversal of 82946512140 is 4121564928.

It is a junction number, because it is equal to n+sod(n) for n = 82946512092 and 82946512101.

It is not an unprimeable number, because it can be changed into a prime (82946512147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22295590 + ... + 22299309.

It is an arithmetic number, because the mean of its divisors is an integer number (4994628800).

Almost surely, 282946512140 is an apocalyptic number.

It is an amenable number.

82946512140 is an abundant number, since it is smaller than the sum of its proper divisors (156795670260).

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

82946512140 is a wasteful number, since it uses less digits than its factorization.

82946512140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44594942 (or 44594940 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 82946512140 in words is "eighty-two billion, nine hundred forty-six million, five hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 44594899 89189798 133784697 178379596 222974495 267569394 445948990 535138788 668923485 891897980 1337846970 1382441869 2675693940 2764883738 4147325607 5529767476 6912209345 8294651214 13824418690 16589302428 20736628035 27648837380 41473256070 82946512140