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83012738200 = 23527337175949
BaseRepresentation
bin100110101001111110…
…0011101110010011000
321221021022010000212021
41031103330131302120
52330002230110300
6102045135024224
75666063426620
oct1152374356230
9257238100767
1083012738200
1132229587967
121410896b074
137a9c359342
144036d39880
15225cc2bd1a
hex1353f1dc98

83012738200 has 96 divisors (see below), whose sum is σ = 221232492000. Its totient is φ = 28376893440.

The previous prime is 83012738143. The next prime is 83012738219. The reversal of 83012738200 is 283721038.

It is a super-2 number, since 2×830127382002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383826 + ... + 559774.

It is an arithmetic number, because the mean of its divisors is an integer number (2304505125).

Almost surely, 283012738200 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 83012738200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110616246000).

83012738200 is an abundant number, since it is smaller than the sum of its proper divisors (138219753800).

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

83012738200 is a wasteful number, since it uses less digits than its factorization.

83012738200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176309 (or 176300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 83012738200 in words is "eighty-three billion, twelve million, seven hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 337 350 674 700 1348 1400 1685 2359 2696 3370 4718 6740 8425 9436 11795 13480 16850 18872 23590 33700 47180 58975 67400 94360 117950 175949 235900 351898 471800 703796 879745 1231643 1407592 1759490 2463286 3518980 4398725 4926572 6158215 7037960 8797450 9853144 12316430 17594900 24632860 30791075 35189800 49265720 59294813 61582150 118589626 123164300 237179252 246328600 296474065 415063691 474358504 592948130 830127382 1185896260 1482370325 1660254764 2075318455 2371792520 2964740650 3320509528 4150636910 5929481300 8301273820 10376592275 11858962600 16602547640 20753184550 41506369100 83012738200