Search a number
-
+
7013137569462 = 235174483189347
BaseRepresentation
bin110011000001101111110…
…0100101101011010110110
3220211110010121121122200000
41212003133210231122312
51404400401204210322
622525442501132130
71322453041523043
oct146033744553266
926743117548600
107013137569462
112264289364772
129532396ba046
133bb44a36627b
141a361ad721ca
15c2663c773ac
hex660df92d6b6

7013137569462 has 96 divisors (see below), whose sum is σ = 16688660107392. Its totient is φ = 2199697617024.

The previous prime is 7013137569443. The next prime is 7013137569463. The reversal of 7013137569462 is 2649657313107.

7013137569462 is a `hidden beast` number, since 7 + 0 + 1 + 3 + 1 + 37 + 569 + 46 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7013137569399 and 7013137569408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7013137569463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36943873 + ... + 37133219.

It is an arithmetic number, because the mean of its divisors is an integer number (173840209452).

Almost surely, 27013137569462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7013137569462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344330053696).

7013137569462 is an abundant number, since it is smaller than the sum of its proper divisors (9675522537930).

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

7013137569462 is a wasteful number, since it uses less digits than its factorization.

7013137569462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193864 (or 193852 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 7013137569462 in words is "seven trillion, thirteen billion, one hundred thirty-seven million, five hundred sixty-nine thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 4483 8262 8966 13449 26898 40347 76211 80694 121041 152422 189347 228633 242082 363123 378694 457266 568041 685899 726246 1089369 1136082 1371798 1704123 2057697 2178738 3218899 3408246 4115394 5112369 6173091 6437798 9656697 10224738 12346182 15337107 18519273 19313394 28970091 30674214 37038546 46011321 57940182 86910273 92022642 173820546 260730819 521461638 782192457 848842601 1564384914 1697685202 2546527803 5093055606 7639583409 14430324217 15279166818 22918750227 28860648434 43290972651 45837500454 68756250681 86581945302 129872917953 137512501362 206268752043 259745835906 389618753859 412537504086 779237507718 1168856261577 2337712523154 3506568784731 7013137569462