Search a number
-
+
706706528640 = 27357471118773
BaseRepresentation
bin10100100100010101111…
…11011101100110000000
32111120010121000100111120
422102022333131212000
543034313332404030
61300353445312240
7102025563244110
oct12221277354600
92446117010446
10706706528640
11252792458952
12b4b6a705680
1351846a1c898
14262c1cab040
15135b2c52010
hexa48afdd980

706706528640 has 256 divisors, whose sum is σ = 2629208401920. Its totient is φ = 158095908864.

The previous prime is 706706528617. The next prime is 706706528657. The reversal of 706706528640 is 46825607607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72294 + ... + 1191066.

It is an arithmetic number, because the mean of its divisors is an integer number (10270345320).

Almost surely, 2706706528640 is an apocalyptic number.

706706528640 is a gapful number since it is divisible by the number (70) 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 706706528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314604200960).

706706528640 is an abundant number, since it is smaller than the sum of its proper divisors (1922501873280).

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

706706528640 is a wasteful number, since it uses less digits than its factorization.

706706528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118849 (or 1118837 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 706706528640 in words is "seven hundred six billion, seven hundred six million, five hundred twenty-eight thousand, six hundred forty".