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83888005264 = 24711312015519
BaseRepresentation
bin100111000100000011…
…1010110000010010000
322000112022002012112221
41032020013112002100
52333300312132024
6102312043030424
76026552164630
oct1161007260220
9260468065487
1083888005264
1132638656a78
1214311b0b414
137bab7a324b
1440bb2986c0
1522ae9c03e4
hex13881d6090

83888005264 has 80 divisors (see below), whose sum is σ = 187585850880. Its totient is φ = 35597721600.

The previous prime is 83888005247. The next prime is 83888005291. The reversal of 83888005264 is 46250088838.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15197097 + ... + 15202615.

It is an arithmetic number, because the mean of its divisors is an integer number (2344823136).

Almost surely, 283888005264 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 83888005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93792925440).

83888005264 is an abundant number, since it is smaller than the sum of its proper divisors (103697845616).

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

83888005264 is a wasteful number, since it uses less digits than its factorization.

83888005264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 83888005264 in words is "eighty-three billion, eight hundred eighty-eight million, five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1201 1582 1808 2402 3164 4804 5519 6328 8407 9608 11038 12656 16814 19216 22076 33628 38633 44152 67256 77266 88304 134512 135713 154532 271426 309064 542852 618128 623647 949991 1085704 1247294 1899982 2171408 2494588 3799964 4365529 4989176 6628319 7599928 8731058 9978352 13256638 15199856 17462116 26513276 34924232 46398233 53026552 69848464 92796466 106053104 185592932 371185864 742371728 749000047 1498000094 2996000188 5243000329 5992000376 10486000658 11984000752 20972001316 41944002632 83888005264