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13049139400 = 23521110158727
BaseRepresentation
bin11000010011100101…
…00001000011001000
31020200102020222001021
430021302201003020
5203211034430100
65554504202224
7641240566123
oct141162410310
936612228037
1013049139400
115596998630
122642169374
1312cc61847b
148bb0bb3ba
1551590ba1a
hex309ca10c8

13049139400 has 96 divisors (see below), whose sum is σ = 33425628480. Its totient is φ = 4698080000.

The previous prime is 13049139379. The next prime is 13049139407. The reversal of 13049139400 is 493194031.

It is not an unprimeable number, because it can be changed into a prime (13049139407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192837 + ... + 251563.

It is an arithmetic number, because the mean of its divisors is an integer number (348183630).

Almost surely, 213049139400 is an apocalyptic number.

13049139400 is a gapful number since it is divisible by the number (10) 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 13049139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712814240).

13049139400 is an abundant number, since it is smaller than the sum of its proper divisors (20376489080).

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

13049139400 is a wasteful number, since it uses less digits than its factorization.

13049139400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58855 (or 58846 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 13049139400 in words is "thirteen billion, forty-nine million, one hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 58727 111100 117454 222200 234908 293635 469816 587270 645997 1174540 1291994 1468175 2349080 2583988 2936350 3229985 5167976 5872700 5931427 6459970 11745400 11862854 12919940 16149925 23725708 25839880 29657135 32299850 47451416 59314270 64599700 65245697 118628540 129199400 130491394 148285675 237257080 260982788 296571350 326228485 521965576 593142700 652456970 1186285400 1304913940 1631142425 2609827880 3262284850 6524569700 13049139400