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13270714112 = 283116310259
BaseRepresentation
bin11000101101111111…
…10000011100000000
31021020212012010102002
430112333300130000
5204134300322422
610032501243132
7646601131415
oct142677603400
937225163362
1013270714112
11569aa76a27
1226a44034a8
1313364b7876
148dc6b810c
1552a0c8692
hex316ff0700

13270714112 has 72 divisors (see below), whose sum is σ = 27514529280. Its totient is φ = 6381296640.

The previous prime is 13270714049. The next prime is 13270714129. The reversal of 13270714112 is 21141707231.

It is a super-2 number, since 2×132707141122 (a number of 21 digits) contains 22 as substring.

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, 1288439 + ... + 1298697.

It is an arithmetic number, because the mean of its divisors is an integer number (382146240).

Almost surely, 213270714112 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 13270714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757264640).

13270714112 is an abundant number, since it is smaller than the sum of its proper divisors (14243815168).

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

13270714112 is a wasteful number, since it uses less digits than its factorization.

13270714112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The spelling of 13270714112 in words is "thirteen billion, two hundred seventy million, seven hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 163 248 256 326 496 652 992 1304 1984 2608 3968 5053 5216 7936 10106 10259 10432 20212 20518 20864 40424 41036 41728 80848 82072 161696 164144 318029 323392 328288 636058 646784 656576 1272116 1293568 1313152 1672217 2544232 2626304 3344434 5088464 6688868 10176928 13377736 20353856 26755472 40707712 51838727 53510944 81415424 103677454 107021888 207354908 214043776 414709816 428087552 829419632 1658839264 3317678528 6635357056 13270714112