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82672209153712 = 2464113276074501
BaseRepresentation
bin10010110011000010011111…
…101010001100111010110000
3101211201101102101211000010201
4102303002133222030322300
541314000141020404322
6451455031044404544
723261604261135433
oct2263023752147260
9354641371730121
1082672209153712
11243840a5897462
1293325176a6754
133718c57086379
14165b4db88181a
15985761cbdd27
hex4b309fa8ceb0

82672209153712 has 40 divisors (see below), whose sum is σ = 160548213131712. Its totient is φ = 41240509440000.

The previous prime is 82672209153659. The next prime is 82672209153719. The reversal of 82672209153712 is 21735190227628.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82672209153719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10572462 + ... + 16646962.

Almost surely, 282672209153712 is an apocalyptic number.

It is an amenable number.

82672209153712 is a deficient number, since it is larger than the sum of its proper divisors (77876003978000).

82672209153712 is a wasteful number, since it uses less digits than its factorization.

82672209153712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076477 (or 6076471 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 82672209153712 in words is "eighty-two trillion, six hundred seventy-two billion, two hundred nine million, one hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 641 1282 1327 2564 2654 5128 5308 10256 10616 21232 850607 1701214 3402428 6074501 6804856 12149002 13609712 24298004 48596008 97192016 3893755141 7787510282 8060862827 15575020564 16121725654 31150041128 32243451308 62300082256 64486902616 128973805232 5167013072107 10334026144214 20668052288428 41336104576856 82672209153712