Search a number
-
+
84746083673856 = 2831137613344207
BaseRepresentation
bin10011010001001101111100…
…001101101010011100000000
3102010001122110021121022102110
4103101031330031222130000
542101434434410030411
6500123451405015320
723564462645533323
oct2321157415523400
9363048407538373
1084746083673856
11250036809a9680
129608437b54540
1338396a1691547
1416cda377567ba
159be6905e82a6
hex4d137c36a700

84746083673856 has 288 divisors, whose sum is σ = 252749539703808. Its totient is φ = 24981921054720.

The previous prime is 84746083673837. The next prime is 84746083673869. The reversal of 84746083673856 is 65837638064748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917006505 + ... + 1917050711.

It is an arithmetic number, because the mean of its divisors is an integer number (877602568416).

Almost surely, 284746083673856 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 84746083673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126374769851904).

84746083673856 is an abundant number, since it is smaller than the sum of its proper divisors (168003456029952).

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

84746083673856 is a wasteful number, since it uses less digits than its factorization.

84746083673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50407 (or 50393 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 75.

The spelling of 84746083673856 in words is "eighty-four trillion, seven hundred forty-six billion, eighty-three million, six hundred seventy-three thousand, eight hundred fifty-six".