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82541203272 = 233211104218691
BaseRepresentation
bin100110011011111010…
…1101100111101001000
321220001102211120112200
41030313311230331020
52323021022001042
6101530252240200
75651306436333
oct1146765547510
9256042746480
1082541203272
11320073a2780
1213bb6a70060
137a2575c6a8
143dd047361a
152231637c4c
hex1337d6cf48

82541203272 has 48 divisors (see below), whose sum is σ = 243871739280. Its totient is φ = 25012485600.

The previous prime is 82541203271. The next prime is 82541203279. The reversal of 82541203272 is 27230214528.

82541203272 is a `hidden beast` number, since 82 + 541 + 2 + 0 + 32 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82541203271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52108554 + ... + 52110137.

It is an arithmetic number, because the mean of its divisors is an integer number (5080661235).

Almost surely, 282541203272 is an apocalyptic number.

It is an amenable number.

82541203272 is an abundant number, since it is smaller than the sum of its proper divisors (161330536008).

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

82541203272 is a wasteful number, since it uses less digits than its factorization.

82541203272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104218714 (or 104218707 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 82541203272 in words is "eighty-two billion, five hundred forty-one million, two hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 104218691 208437382 312656073 416874764 625312146 833749528 937968219 1146405601 1250624292 1875936438 2292811202 2501248584 3439216803 3751872876 4585622404 6878433606 7503745752 9171244808 10317650409 13756867212 20635300818 27513734424 41270601636 82541203272