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83684977812 = 22322324582717
BaseRepresentation
bin100110111110000000…
…0110110110010010100
322000000011001100020200
41031330000312302110
52332341323242222
6102235551300500
76021535401102
oct1157400666224
9260004040220
1083684977812
1132543a96497
1214275b1a730
137b786c8c67
14409c328c72
15229bc68eac
hex137c036c94

83684977812 has 18 divisors (see below), whose sum is σ = 211537027338. Its totient is φ = 27894992592.

The previous prime is 83684977793. The next prime is 83684977819. The reversal of 83684977812 is 21877948638.

83684977812 is a `hidden beast` number, since 8 + 3 + 68 + 497 + 7 + 81 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81769690116 + 1915287696 = 285954^2 + 43764^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×836849778122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83684977812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83684977819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1162291323 + ... + 1162291394.

Almost surely, 283684977812 is an apocalyptic number.

It is an amenable number.

83684977812 is an abundant number, since it is smaller than the sum of its proper divisors (127852049526).

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

83684977812 is a wasteful number, since it uses less digits than its factorization.

83684977812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324582727 (or 2324582722 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 83684977812 in words is "eighty-three billion, six hundred eighty-four million, nine hundred seventy-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2324582717 4649165434 6973748151 9298330868 13947496302 20921244453 27894992604 41842488906 83684977812