Search a number
-
+
730281775104 = 2123472291549
BaseRepresentation
bin10101010000010000010…
…11111001000000000000
32120210222120222221220000
422220020023321000000
543431104113300404
61315253052520000
7103522030445100
oct12501013710000
92523876887800
10730281775104
11261790029512
12b9649a80000
1353b3301b66b
14274bad3b200
1513ee27e0339
hexaa082f9000

730281775104 has 780 divisors, whose sum is σ = 2626939705500. Its totient is φ = 201326985216.

The previous prime is 730281775073. The next prime is 730281775117. The reversal of 730281775104 is 401577182037.

It can be written as a sum of positive squares in 2 ways, for example, as 314101960704 + 416179814400 = 560448^2 + 645120^2 .

It is a super-2 number, since 2×7302817751042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 730281775104.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 471452922 + ... + 471454470.

Almost surely, 2730281775104 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 730281775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313469852750).

730281775104 is an abundant number, since it is smaller than the sum of its proper divisors (1896657930396).

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

730281775104 is a wasteful number, since it uses less digits than its factorization.

730281775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 730281775104 in words is "seven hundred thirty billion, two hundred eighty-one million, seven hundred seventy-five thousand, one hundred four".