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82996669152 = 2532674301237
BaseRepresentation
bin100110101001011111…
…1001010101011100000
321221020011212122021100
41031102333022223200
52324434121403102
6102043402354400
75665510022235
oct1152277125340
9257204778240
1082996669152
1132220501a61
12141034bba00
137a98c21227
144034b5578c
15225b605a1c
hex1352fcaae0

82996669152 has 72 divisors (see below), whose sum is σ = 239544546696. Its totient is φ = 27252631296.

The previous prime is 82996669043. The next prime is 82996669157. The reversal of 82996669152 is 25196669928.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 82996669152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82996669157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2131323 + ... + 2169914.

It is an arithmetic number, because the mean of its divisors is an integer number (3327007593).

Almost surely, 282996669152 is an apocalyptic number.

It is an amenable number.

82996669152 is an abundant number, since it is smaller than the sum of its proper divisors (156547877544).

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

82996669152 is a wasteful number, since it uses less digits than its factorization.

82996669152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301320 (or 4301309 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 82996669152 in words is "eighty-two billion, nine hundred ninety-six million, six hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 4301237 8602474 12903711 17204948 25807422 34409896 38711133 51614844 68819792 77422266 103229688 137639584 154844532 206459376 288182879 309689064 412918752 576365758 619378128 864548637 1152731516 1238756256 1729097274 2305463032 2593645911 3458194548 4610926064 5187291822 6916389096 9221852128 10374583644 13832778192 20749167288 27665556384 41498334576 82996669152