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12413182716 = 22331117475981
BaseRepresentation
bin10111000111110001…
…00010001011111100
31012001002121000111000
423203320202023330
5200410233321331
65411425330300
7616416212034
oct134370421374
935032530430
1012413182716
11529aa109a0
1224a5196990
13122a94053c
1485a8548c4
154c9b8a0e6
hex2e3e222fc

12413182716 has 96 divisors (see below), whose sum is σ = 35133960960. Its totient is φ = 3758788800.

The previous prime is 12413182709. The next prime is 12413182721. The reversal of 12413182716 is 61728131421.

It is a super-2 number, since 2×124131827162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2072446 + ... + 2078426.

It is an arithmetic number, because the mean of its divisors is an integer number (365978760).

Almost surely, 212413182716 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 12413182716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566980480).

12413182716 is an abundant number, since it is smaller than the sum of its proper divisors (22720778244).

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

12413182716 is a wasteful number, since it uses less digits than its factorization.

12413182716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7744 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 12413182716 in words is "twelve billion, four hundred thirteen million, one hundred eighty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1747 3494 5241 5981 6988 10482 11962 15723 17943 19217 20964 23924 31446 35886 38434 47169 53829 57651 62892 65791 71772 76868 94338 107658 115302 131582 161487 172953 188676 197373 215316 230604 263164 322974 345906 394746 518859 592119 645948 691812 789492 1037718 1184238 1776357 2075436 2368476 3552714 7105428 10448807 20897614 31346421 41795228 62692842 94039263 114936877 125385684 188078526 229873754 282117789 344810631 376157052 459747508 564235578 689621262 1034431893 1128471156 1379242524 2068863786 3103295679 4137727572 6206591358 12413182716