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1316137518 = 23317892181
BaseRepresentation
bin100111001110010…
…1010101000101110
310101201112201021000
41032130222220232
510143412400033
6334333221130
744420661423
oct11634525056
93351481230
101316137518
11615a1a663
123089317a6
1317c8982c7
14c6b21d4a
157a82ba13
hex4e72aa2e

1316137518 has 96 divisors (see below), whose sum is σ = 3149284320. Its totient is φ = 406010880.

The previous prime is 1316137517. The next prime is 1316137531. The reversal of 1316137518 is 8157316131.

1316137518 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 137 + 518 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316137517) 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, 7271388 + ... + 7271568.

It is an arithmetic number, because the mean of its divisors is an integer number (32805045).

Almost surely, 21316137518 is an apocalyptic number.

1316137518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316137518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574642160).

1316137518 is an abundant number, since it is smaller than the sum of its proper divisors (1833146802).

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

1316137518 is a wasteful number, since it uses less digits than its factorization.

1316137518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 292 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1316137518 is about 36278.6096481108. The cubic root of 1316137518 is about 1095.8903173800.

The spelling of 1316137518 in words is "one billion, three hundred sixteen million, one hundred thirty-seven thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 89 102 153 178 181 267 306 362 459 534 543 801 918 1086 1513 1602 1629 2403 3026 3077 3258 4539 4806 4887 6154 7921 9078 9231 9774 13617 15842 16109 18462 23763 27234 27693 32218 40851 47526 48327 55386 71289 81702 83079 96654 134657 142578 144981 166158 213867 269314 273853 289962 403971 427734 434943 547706 807942 821559 869886 1211913 1433701 1643118 2423826 2464677 2867402 3635739 4301103 4929354 7271478 7394031 8602206 12903309 14788062 24372917 25806618 38709927 48745834 73118751 77419854 146237502 219356253 438712506 658068759 1316137518