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13339794800 = 245243177377
BaseRepresentation
bin11000110110001110…
…10001110101110000
31021102200011210022002
430123013101311300
5204304441413200
610043410033132
7651400246013
oct143307216560
937380153262
1013339794800
115725a6a302
1227035787a8
1313478c3b07
1490793b37a
155311c1bd5
hex31b1d1d70

13339794800 has 60 divisors (see below), whose sum is σ = 32123631456. Its totient is φ = 5323468800.

The previous prime is 13339794781. The next prime is 13339794827. The reversal of 13339794800 is 849793331.

It is a happy number.

13339794800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133397948002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133712 + ... + 211088.

Almost surely, 213339794800 is an apocalyptic number.

13339794800 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 13339794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061815728).

13339794800 is an abundant number, since it is smaller than the sum of its proper divisors (18783836656).

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

13339794800 is a wasteful number, since it uses less digits than its factorization.

13339794800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77826 (or 77815 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 13339794800 in words is "thirteen billion, three hundred thirty-nine million, seven hundred ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 431 862 1724 2155 3448 4310 6896 8620 10775 17240 21550 34480 43100 77377 86200 154754 172400 309508 386885 619016 773770 1238032 1547540 1934425 3095080 3868850 6190160 7737700 15475400 30950800 33349487 66698974 133397948 166747435 266795896 333494870 533591792 666989740 833737175 1333979480 1667474350 2667958960 3334948700 6669897400 13339794800