Search a number
-
+
70856438688 = 2534729311433
BaseRepresentation
bin100000111111101011…
…1110111001110100000
320202220002220000220000
41001333113313032200
52130103222014223
652315003220000
75055613535310
oct1017727671640
9222802800800
1070856438688
1128060681142
1211895817600
1368b29cb4c9
143602673440
151c9a8d5543
hex107f5f73a0

70856438688 has 480 divisors, whose sum is σ = 247731644160. Its totient is φ = 19438755840.

The previous prime is 70856438687. The next prime is 70856438699. The reversal of 70856438688 is 88683465807.

70856438688 is a `hidden beast` number, since 7 + 0 + 8 + 564 + 3 + 8 + 68 + 8 = 666.

It is a super-2 number, since 2×708564386882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (70856438683) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163640520 + ... + 163640952.

It is an arithmetic number, because the mean of its divisors is an integer number (516107592).

Almost surely, 270856438688 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 70856438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123865822080).

70856438688 is an abundant number, since it is smaller than the sum of its proper divisors (176875205472).

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

70856438688 is a wasteful number, since it uses less digits than its factorization.

70856438688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 70856438688 in words is "seventy billion, eight hundred fifty-six million, four hundred thirty-eight thousand, six hundred eighty-eight".