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13098873536 = 267173169009
BaseRepresentation
bin11000011001100000…
…01111001011000000
31020210212211201110022
430030300033023000
5203311302423121
610003442153012
7642413405450
oct141460171300
936725751408
1013098873536
115611a77621
122656952768
131309a0c858
148c3945d60
15519e82aab
hex30cc0f2c0

13098873536 has 56 divisors (see below), whose sum is σ = 29878263840. Its totient is φ = 5581320192.

The previous prime is 13098873511. The next prime is 13098873587. The reversal of 13098873536 is 63537889031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×130988735363 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7001 + ... + 162008.

Almost surely, 213098873536 is an apocalyptic number.

13098873536 is a gapful number since it is divisible by the number (16) 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 13098873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939131920).

13098873536 is an abundant number, since it is smaller than the sum of its proper divisors (16779390304).

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

13098873536 is a wasteful number, since it uses less digits than its factorization.

13098873536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169201 (or 169191 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 13098873536 in words is "thirteen billion, ninety-eight million, eight hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 346 448 692 1211 1384 2422 2768 4844 5536 9688 11072 19376 38752 77504 169009 338018 676036 1183063 1352072 2366126 2704144 4732252 5408288 9464504 10816576 18929008 29238557 37858016 58477114 75716032 116954228 204669899 233908456 409339798 467816912 818679596 935633824 1637359192 1871267648 3274718384 6549436768 13098873536