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13389073992 = 2332726196131
BaseRepresentation
bin11000111100000110…
…10000111001001000
31021120002220102122100
430132003100321020
5204410100331432
610052330153400
7652536152100
oct143603207110
937502812570
1013389073992
115750868508
122717b82860
131354b890b8
149102c8200
155356a807c
hex31e0d0e48

13389073992 has 144 divisors (see below), whose sum is σ = 42257451600. Its totient is φ = 3818646720.

The previous prime is 13389073991. The next prime is 13389074011. The reversal of 13389073992 is 29937098331.

It is not an unprimeable number, because it can be changed into a prime (13389073991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2180767 + ... + 2186897.

It is an arithmetic number, because the mean of its divisors is an integer number (293454525).

Almost surely, 213389073992 is an apocalyptic number.

13389073992 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 13389073992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128725800).

13389073992 is an abundant number, since it is smaller than the sum of its proper divisors (28868377608).

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

13389073992 is a wasteful number, since it uses less digits than its factorization.

13389073992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13389073992 in words is "thirteen billion, three hundred eighty-nine million, seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 619 882 1176 1238 1764 1857 2476 3528 3714 4333 4952 5571 6131 7428 8666 11142 12262 12999 14856 17332 18393 22284 24524 25998 30331 34664 36786 38997 42917 44568 49048 51996 55179 60662 73572 77994 85834 90993 103992 110358 121324 128751 147144 155988 171668 181986 220716 242648 257502 272979 300419 311976 343336 363972 386253 441432 515004 545958 600838 727944 772506 901257 1030008 1091916 1201676 1545012 1802514 2183832 2403352 2703771 3090024 3605028 3795089 5407542 7210056 7590178 10815084 11385267 15180356 21630168 22770534 26565623 30360712 34155801 45541068 53131246 68311602 79696869 91082136 106262492 136623204 159393738 185959361 212524984 239090607 273246408 318787476 371918722 478181214 557878083 637574952 743837444 956362428 1115756166 1487674888 1673634249 1912724856 2231512332 3347268498 4463024664 6694536996 13389073992