Search a number
-
+
70427810544 = 243721373139227
BaseRepresentation
bin100000110010111010…
…0110001101011110000
320201210020100110121120
41001211310301223300
52123214004414134
652204252222240
75042160340500
oct1014564615360
9221706313546
1070427810544
1127960732503
121179616a980
136844c754a0
1435a1779a00
151c72e69649
hex1065d31af0

70427810544 has 480 divisors, whose sum is σ = 233732540160. Its totient is φ = 18108002304.

The previous prime is 70427810533. The next prime is 70427810569. The reversal of 70427810544 is 44501872407.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 70427810496 and 70427810505.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 310254559 + ... + 310254785.

It is an arithmetic number, because the mean of its divisors is an integer number (486942792).

Almost surely, 270427810544 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 70427810544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116866270080).

70427810544 is an abundant number, since it is smaller than the sum of its proper divisors (163304729616).

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

70427810544 is a wasteful number, since it uses less digits than its factorization.

70427810544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 70427810544 in words is "seventy billion, four hundred twenty-seven million, eight hundred ten thousand, five hundred forty-four".