Search a number
-
+
70339982328 = 2332711229311283
BaseRepresentation
bin100000110000010010…
…1101111001111111000
320201120010002022221200
41001200211233033320
52123024013413303
652151433534200
75040042661530
oct1014045571770
9221503068850
1070339982328
11279160a4900
1211770874360
13682ca03c25
143593c364c0
151c6a3bb3a3
hex106096f3f8

70339982328 has 576 divisors, whose sum is σ = 255748147200. Its totient is φ = 17057779200.

The previous prime is 70339982309. The next prime is 70339982341. The reversal of 70339982328 is 82328993307.

70339982328 is a `hidden beast` number, since 70 + 339 + 9 + 8 + 232 + 8 = 666.

It is a super-2 number, since 2×703399823282 (a number of 22 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 143 ways as a sum of consecutive naturals, for example, 54823975 + ... + 54825257.

It is an arithmetic number, because the mean of its divisors is an integer number (444007200).

Almost surely, 270339982328 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 70339982328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127874073600).

70339982328 is an abundant number, since it is smaller than the sum of its proper divisors (185408164872).

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

70339982328 is a wasteful number, since it uses less digits than its factorization.

70339982328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 70339982328 in words is "seventy billion, three hundred thirty-nine million, nine hundred eighty-two thousand, three hundred twenty-eight".