Search a number
-
+
7064770512 = 2431767129221
BaseRepresentation
bin1101001010001011…
…11101011111010000
3200020100121112020010
412211011331133100
5103432040124022
63125010314520
7340033362402
oct64505753720
920210545203
107064770512
112aa5973718
121451b88a40
138878633a7
144b03bab72
152b536050c
hex1a517d7d0

7064770512 has 80 divisors (see below), whose sum is σ = 19612798272. Its totient is φ = 2183301120.

The previous prime is 7064770469. The next prime is 7064770519. The reversal of 7064770512 is 2150774607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7064770519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9939 + ... + 119282.

Almost surely, 27064770512 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 7064770512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806399136).

7064770512 is an abundant number, since it is smaller than the sum of its proper divisors (12548027760).

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

7064770512 is a wasteful number, since it uses less digits than its factorization.

7064770512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129316 (or 129310 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 7064770512 is about 84052.1892159865. The cubic root of 7064770512 is about 1918.8131510485.

The spelling of 7064770512 in words is "seven billion, sixty-four million, seven hundred seventy thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 804 816 1072 1139 1608 2278 3216 3417 4556 6834 9112 13668 18224 27336 54672 129221 258442 387663 516884 775326 1033768 1550652 2067536 2196757 3101304 4393514 6202608 6590271 8657807 8787028 13180542 17315614 17574056 25973421 26361084 34631228 35148112 51946842 52722168 69262456 103893684 105444336 138524912 147182719 207787368 294365438 415574736 441548157 588730876 883096314 1177461752 1766192628 2354923504 3532385256 7064770512