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84993048327 = 31121921275107
BaseRepresentation
bin100111100100111111…
…0101111111100000111
322010101022102012122210
41033021332233330013
52343031210021302
6103013435554503
76066130663545
oct1171176577407
9263338365583
1084993048327
11330553a6200
121457bbbba33
1380266cb495
144183d4ad95
152326a0066c
hex13c9faff07

84993048327 has 72 divisors (see below), whose sum is σ = 132524894208. Its totient is φ = 48406105440.

The previous prime is 84993048323. The next prime is 84993048341. The reversal of 84993048327 is 72384039948.

It is not a de Polignac number, because 84993048327 - 22 = 84993048323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84993048323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16639908 + ... + 16645014.

Almost surely, 284993048327 is an apocalyptic number.

84993048327 is a deficient number, since it is larger than the sum of its proper divisors (47531845881).

84993048327 is a wasteful number, since it uses less digits than its factorization.

84993048327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 84993048327 in words is "eighty-four billion, nine hundred ninety-three million, forty-eight thousand, three hundred twenty-seven".

Divisors: 1 3 11 19 33 57 121 127 209 361 363 381 627 1083 1397 2299 2413 3971 4191 5107 6897 7239 11913 15321 15367 26543 43681 45847 46101 56177 79629 97033 131043 137541 168531 291099 291973 504317 617947 648589 875919 1067363 1512951 1843627 1853841 1945767 3202089 5530881 5547487 7134479 11740993 12323191 16642461 20279897 21403437 35222979 36969573 60839691 78479269 135555101 223078867 234140629 235437807 406665303 669236601 702421887 1491106111 2575546919 4473318333 7726640757 28331016109 84993048327