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83607201636 = 22377316378329
BaseRepresentation
bin100110111011101100…
…0001010011101100100
321222210201200220101120
41031313120022131210
52332211420423021
6102224132253540
76016602326310
oct1156730123544
9258721626346
1083607201636
11325040a4062
1214253a712b0
137b65566b5a
144091c80b40
1522950042c6
hex137760a764

83607201636 has 96 divisors (see below), whose sum is σ = 226171895040. Its totient is φ = 23543322624.

The previous prime is 83607201569. The next prime is 83607201647. The reversal of 83607201636 is 63610270638.

It is a super-2 number, since 2×836072016362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 10033920 + ... + 10042248.

It is an arithmetic number, because the mean of its divisors is an integer number (2355957240).

Almost surely, 283607201636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83607201636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113085947520).

83607201636 is an abundant number, since it is smaller than the sum of its proper divisors (142564693404).

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

83607201636 is a wasteful number, since it uses less digits than its factorization.

83607201636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 83607201636 in words is "eighty-three billion, six hundred seven million, two hundred one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 1637 2044 3066 3274 4911 6132 6548 8329 9822 11459 16658 19644 22918 24987 33316 34377 45836 49974 58303 68754 99948 116606 119501 137508 174909 233212 239002 349818 358503 478004 608017 699636 717006 836507 1216034 1434012 1673014 1824051 2432068 2509521 3346028 3648102 4256119 5019042 7296204 8512238 10038084 12768357 13634573 17024476 25536714 27269146 40903719 51073428 54538292 81807438 95442011 163614876 190884022 286326033 381768044 572652066 995323829 1145304132 1990647658 2985971487 3981295316 5971942974 6967266803 11943885948 13934533606 20901800409 27869067212 41803600818 83607201636