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13302739631172 = 22323613145953891
BaseRepresentation
bin1100000110010100100100…
…0100011111110001000100
31202002201200210112020110210
43001211021010133301010
53220423002321144142
644143105541315420
72542043201120655
oct301451104376104
952081623466423
1013302739631172
1142697297a1492
1215aa1b0705b70
1375659b268454
1433dbdad5552c
1518107c60849c
hexc194911fc44

13302739631172 has 96 divisors (see below), whose sum is σ = 32464954690560. Its totient is φ = 4231553166720.

The previous prime is 13302739631161. The next prime is 13302739631173. The reversal of 13302739631172 is 27113693720331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13302739631173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246818347 + ... + 246872237.

It is an arithmetic number, because the mean of its divisors is an integer number (338176611360).

Almost surely, 213302739631172 is an apocalyptic number.

13302739631172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302739631172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232477345280).

13302739631172 is an abundant number, since it is smaller than the sum of its proper divisors (19162215059388).

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

13302739631172 is a wasteful number, since it uses less digits than its factorization.

13302739631172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55993 (or 55991 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The spelling of 13302739631172 in words is "thirteen trillion, three hundred two billion, seven hundred thirty-nine million, six hundred thirty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 613 1226 1459 1839 2452 2918 3678 4377 5836 7356 8754 14099 17508 28198 33557 42297 53891 56396 67114 84594 100671 107782 134228 161673 169188 201342 215564 323346 402684 646692 894367 1239493 1788734 2478986 2683101 3577468 3718479 4957972 5366202 7436958 10732404 14873916 20570441 33035183 41140882 61711323 66070366 78626969 82281764 99105549 123422646 132140732 157253938 198211098 235880907 246845292 314507876 396422196 471761814 759809209 943523628 1519618418 1808420287 2279427627 3039236836 3616840574 4558855254 5425260861 7233681148 9117710508 10850521722 21701043444 48198331997 96396663994 144594995991 192793327988 289189991982 578379983964 1108561635931 2217123271862 3325684907793 4434246543724 6651369815586 13302739631172