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13381167156 = 2237253617039
BaseRepresentation
bin11000111011001010…
…00110100000110100
31021112120000201111120
430131211012200310
5204401034322111
610051444503540
7652412021100
oct143545064064
937476021446
1013381167156
115747357a35
1227153aabb0
13135334b1b6
1490d22a900
15534b45406
hex31d946834

13381167156 has 144 divisors (see below), whose sum is σ = 37617592320. Its totient is φ = 3689038080.

The previous prime is 13381167131. The next prime is 13381167157. The reversal of 13381167156 is 65176118331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381167157) 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, 1897485 + ... + 1904523.

It is an arithmetic number, because the mean of its divisors is an integer number (261233280).

Almost surely, 213381167156 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 13381167156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

13381167156 is an abundant number, since it is smaller than the sum of its proper divisors (24236425164).

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

13381167156 is a wasteful number, since it uses less digits than its factorization.

13381167156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7165 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The spelling of 13381167156 in words is "thirteen billion, three hundred eighty-one million, one hundred sixty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 61 84 98 106 122 147 159 183 196 212 244 294 318 366 371 427 588 636 732 742 854 1113 1281 1484 1708 2226 2562 2597 2989 3233 4452 5124 5194 5978 6466 7039 7791 8967 9699 10388 11956 12932 14078 15582 17934 19398 21117 22631 28156 31164 35868 38796 42234 45262 49273 67893 84468 90524 98546 135786 147819 158417 197092 271572 295638 316834 344911 373067 429379 475251 591276 633668 689822 746134 858758 950502 1034733 1119201 1288137 1379644 1492268 1717516 1901004 2069466 2238402 2576274 2611469 3005653 4138932 4476804 5152548 5222938 6011306 7834407 9016959 10445876 12022612 15668814 18033918 18280283 21039571 22757087 31337628 36067836 36560566 42079142 45514174 54840849 63118713 68271261 73121132 84158284 91028348 109681698 126237426 136542522 159299609 219363396 252474852 273085044 318599218 477898827 637198436 955797654 1115097263 1911595308 2230194526 3345291789 4460389052 6690583578 13381167156