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82082882628 = 22336831112777
BaseRepresentation
bin100110001110010000…
…1010110010001000100
321211212111102110211000
41030130201112101010
52321101204221003
6101413001013300
75634042663465
oct1143441262104
9254774373730
1082082882628
11318a171368a
1213aa9484230
13798180b646
143d8964ad6c
1522062a41a3
hex131c856444

82082882628 has 48 divisors (see below), whose sum is σ = 213119242560. Its totient is φ = 27320876352.

The previous prime is 82082882627. The next prime is 82082882657. The reversal of 82082882628 is 82628828028.

82082882628 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 2 + 8 + 8 + 2 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82082882627) 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, 482625 + ... + 630152.

It is an arithmetic number, because the mean of its divisors is an integer number (4439984220).

Almost surely, 282082882628 is an apocalyptic number.

It is an amenable number.

82082882628 is an abundant number, since it is smaller than the sum of its proper divisors (131036359932).

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

82082882628 is a wasteful number, since it uses less digits than its factorization.

82082882628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113473 (or 1113465 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 82082882628 in words is "eighty-two billion, eighty-two million, eight hundred eighty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 683 1366 2049 2732 4098 6147 8196 12294 18441 24588 36882 73764 1112777 2225554 3338331 4451108 6676662 10014993 13353324 20029986 30044979 40059972 60089958 120179916 760026691 1520053382 2280080073 3040106764 4560160146 6840240219 9120320292 13680480438 20520720657 27360960876 41041441314 82082882628