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13289477472 = 2532233198043
BaseRepresentation
bin11000110000001110…
…10101010101100000
31021022011111101220100
430120013111111200
5204204101234342
610034411342400
7650216460165
oct143007252540
937264441810
1013289477472
1156aa622137
1226aa751a00
13133a35714b
14900da006c
1552ba82e4c
hex3181d5560

13289477472 has 72 divisors (see below), whose sum is σ = 37954340424. Its totient is φ = 4410791424.

The previous prime is 13289477471. The next prime is 13289477491. The reversal of 13289477472 is 27477498231.

13289477472 is a `hidden beast` number, since 13 + 2 + 8 + 94 + 77 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132894774722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13289477471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31918 + ... + 166125.

It is an arithmetic number, because the mean of its divisors is an integer number (527143617).

Almost surely, 213289477472 is an apocalyptic number.

13289477472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13289477472 is an abundant number, since it is smaller than the sum of its proper divisors (24664862952).

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

13289477472 is a wasteful number, since it uses less digits than its factorization.

13289477472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198292 (or 198281 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 13289477472 in words is "thirteen billion, two hundred eighty-nine million, four hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 16776 22368 33552 67104 198043 396086 594129 792172 1188258 1584344 1782387 2376516 3168688 3564774 4753032 6337376 7129548 9506064 14259096 19012128 28518192 46144019 57036384 92288038 138432057 184576076 276864114 369152152 415296171 553728228 738304304 830592342 1107456456 1476608608 1661184684 2214912912 3322369368 4429825824 6644738736 13289477472