Search a number
-
+
83814398640 = 24325764725703
BaseRepresentation
bin100111000001110111…
…0100011101010110000
322000100011120121020200
41032003232203222300
52333122441224030
6102300453235200
76024666430230
oct1160356435260
9260304517220
1083814398640
1132600052255
12142b1332b00
137b99470c2b
1440b15b7cc0
1522a82d0d60
hex1383ba3ab0

83814398640 has 240 divisors, whose sum is σ = 322197378048. Its totient is φ = 19127222784.

The previous prime is 83814398639. The next prime is 83814398651. The reversal of 83814398640 is 4689341838.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3248029 + ... + 3273731.

Almost surely, 283814398640 is an apocalyptic number.

83814398640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83814398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161098689024).

83814398640 is an abundant number, since it is smaller than the sum of its proper divisors (238382979408).

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

83814398640 is a wasteful number, since it uses less digits than its factorization.

83814398640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26376 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 83814398640 in words is "eighty-three billion, eight hundred fourteen million, three hundred ninety-eight thousand, six hundred forty".