Search a number
-
+
706685504070 = 23571331639397
BaseRepresentation
bin10100100100010011011…
…11010000101001000110
32111120002010110012012210
422102021233100221012
543034242442112240
61300351414524250
7102025216450020
oct12221157205106
92446063405183
10706685504070
112527815a8877
12b4b63666686
135184256b000
14262bd197010
15135b0e9c780
hexa489bd0a46

706685504070 has 256 divisors, whose sum is σ = 2112898959360. Its totient is φ = 148172364288.

The previous prime is 706685504009. The next prime is 706685504071. The reversal of 706685504070 is 70405586607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706685504071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75198612 + ... + 75208008.

It is an arithmetic number, because the mean of its divisors is an integer number (8253511560).

Almost surely, 2706685504070 is an apocalyptic number.

706685504070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 706685504070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056449479680).

706685504070 is an abundant number, since it is smaller than the sum of its proper divisors (1406213455290).

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

706685504070 is a wasteful number, since it uses less digits than its factorization.

706685504070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 706685504070 in words is "seven hundred six billion, six hundred eighty-five million, five hundred four thousand, seventy".