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13154322335104 = 272330791451179
BaseRepresentation
bin1011111101101011101010…
…1101011100010110000000
31201120112121100012102020101
42333122322231130112000
53211010023004210404
643551002351452144
72525240240661616
oct277327255342600
951515540172211
1013154322335104
114211798031215
12158548bb27054
137455a78772c2
1433695b8756b6
1517c29295d2a4
hexbf6bab5c580

13154322335104 has 64 divisors (see below), whose sum is σ = 27354162528000. Its totient is φ = 6289150044672.

The previous prime is 13154322335069. The next prime is 13154322335117. The reversal of 13154322335104 is 40153322345131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8338987 + ... + 9790165.

It is an arithmetic number, because the mean of its divisors is an integer number (427408789500).

Almost surely, 213154322335104 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 13154322335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677081264000).

13154322335104 is an abundant number, since it is smaller than the sum of its proper divisors (14199840192896).

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

13154322335104 is a wasteful number, since it uses less digits than its factorization.

13154322335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454295 (or 1454283 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 13154322335104 in words is "thirteen trillion, one hundred fifty-four billion, three hundred twenty-two million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 3079 6158 12316 24632 49264 70817 98528 141634 197056 283268 394112 566536 1133072 1451179 2266144 2902358 4532288 5804716 9064576 11609432 23218864 33377117 46437728 66754234 92875456 133508468 185750912 267016936 534033872 1068067744 2136135488 4272270976 4468180141 8936360282 17872720564 35745441128 71490882256 102768143243 142981764512 205536286486 285963529024 411072572972 571927058048 822145145944 1644290291888 3288580583776 6577161167552 13154322335104