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83944083700 = 225219724117681
BaseRepresentation
bin100111000101101110…
…1010001000011110100
322000200012121021201001
41032023131101003310
52333404141134300
6102321405013044
76031132636621
oct1161335210364
9260605537631
1083944083700
1132667279594
1214328854184
137bba2a9259
1440c48d5348
1522b489b16a
hex138b7510f4

83944083700 has 72 divisors (see below), whose sum is σ = 183853404504. Its totient is φ = 33266688000.

The previous prime is 83944083697. The next prime is 83944083721. The reversal of 83944083700 is 738044938.

It can be written as a sum of positive squares in 12 ways, for example, as 3285811684 + 80658272016 = 57322^2 + 284004^2 .

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, 4738860 + ... + 4756540.

It is an arithmetic number, because the mean of its divisors is an integer number (2553519507).

Almost surely, 283944083700 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 83944083700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91926702252).

83944083700 is an abundant number, since it is smaller than the sum of its proper divisors (99909320804).

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

83944083700 is a wasteful number, since it uses less digits than its factorization.

83944083700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18133 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 83944083700 in words is "eighty-three billion, nine hundred forty-four million, eighty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 241 394 482 788 964 985 1205 1970 2410 3940 4820 4925 6025 9850 12050 17681 19700 24100 35362 47477 70724 88405 94954 176810 189908 237385 353620 442025 474770 884050 949540 1186925 1768100 2373850 3483157 4261121 4747700 6966314 8522242 13932628 17044484 17415785 21305605 34831570 42611210 69663140 85222420 87078925 106528025 174157850 213056050 348315700 426112100 839440837 1678881674 3357763348 4197204185 8394408370 16788816740 20986020925 41972041850 83944083700