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84050630352 = 24321323453757
BaseRepresentation
bin100111001000111001…
…1101101011011010000
322000221122002102020100
41032101303231123100
52334113430132402
6102340132412400
76033565366353
oct1162163553320
9260848072210
1084050630352
1132711431677
1214358477100
137c063a2800
1440d4b0c29a
1522bdde571c
hex1391ced6d0

84050630352 has 90 divisors (see below), whose sum is σ = 254711198742. Its totient is φ = 25861724928.

The previous prime is 84050630333. The next prime is 84050630381. The reversal of 84050630352 is 25303605048.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7596168336 + 76454462016 = 87156^2 + 276504^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1702543 + ... + 1751214.

Almost surely, 284050630352 is an apocalyptic number.

It is an amenable number.

84050630352 is an abundant number, since it is smaller than the sum of its proper divisors (170660568390).

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

84050630352 is a wasteful number, since it uses less digits than its factorization.

84050630352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453797 (or 3453775 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 84050630352 in words is "eighty-four billion, fifty million, six hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 3453757 6907514 10361271 13815028 20722542 27630056 31083813 41445084 44898841 55260112 62167626 82890168 89797682 124335252 134696523 165780336 179595364 248670504 269393046 359190728 404089569 497341008 538786092 583684933 718381456 808179138 1077572184 1167369866 1616358276 1751054799 2155144368 2334739732 3232716552 3502109598 4669479464 5253164397 6465433104 7004219196 9338958928 10506328794 14008438392 21012657588 28016876784 42025315176 84050630352