Search a number
-
+
7130845810560 = 2735198914811483
BaseRepresentation
bin110011111000100011110…
…0010000000111110000000
3221020200221220102211222010
41213301013202000332000
51413312433011414220
623055510525212520
71334121002206443
oct147610742007600
927220856384863
107130845810560
1122aa1a161746a
12972009a01140
133c9588802584
141a91c5b9365a
15c57529381e0
hex67c47880f80

7130845810560 has 512 divisors, whose sum is σ = 24227356608000. Its totient is φ = 1778832506880.

The previous prime is 7130845810537. The next prime is 7130845810577. The reversal of 7130845810560 is 650185480317.

It is a super-2 number, since 2×71308458105602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4808391579 + ... + 4808393061.

It is an arithmetic number, because the mean of its divisors is an integer number (47319055875).

Almost surely, 27130845810560 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 7130845810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113678304000).

7130845810560 is an abundant number, since it is smaller than the sum of its proper divisors (17096510797440).

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

7130845810560 is a wasteful number, since it uses less digits than its factorization.

7130845810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 7130845810560 in words is "seven trillion, one hundred thirty billion, eight hundred forty-five million, eight hundred ten thousand, five hundred sixty".