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13133440464 = 243431012512
BaseRepresentation
bin11000011101101000…
…00110010111010000
31020220021212220100220
430032310012113100
5203344130043324
610011115113040
7643313254614
oct141664062720
936807786326
1013133440464
11562a537231
122666442780
131313c23461
148c8383344
1551d00eb79
hex30ed065d0

13133440464 has 120 divisors (see below), whose sum is σ = 35201053536. Its totient is φ = 4216800000.

The previous prime is 13133440429. The next prime is 13133440499. The reversal of 13133440464 is 46404433131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13133440429) and next prime (13133440499).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52324339 + ... + 52324589.

Almost surely, 213133440464 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 13133440464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600526768).

13133440464 is an abundant number, since it is smaller than the sum of its proper divisors (22067613072).

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

13133440464 is a wasteful number, since it uses less digits than its factorization.

13133440464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 13133440464 its reverse (46404433131), we get a palindrome (59537873595).

The spelling of 13133440464 in words is "thirteen billion, one hundred thirty-three million, four hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 101 129 172 202 251 258 303 344 404 502 516 606 688 753 808 1004 1032 1212 1506 1616 2008 2064 2424 3012 4016 4343 4848 6024 8686 10793 12048 13029 17372 21586 25351 26058 32379 34744 43172 50702 52116 63001 64758 69488 76053 86344 101404 104232 126002 129516 152106 172688 189003 202808 208464 252004 259032 304212 378006 405616 504008 518064 608424 756012 1008016 1090093 1216848 1512024 2180186 2709043 3024048 3270279 4360372 5418086 6363101 6540558 8127129 8720744 10836172 12726202 13081116 16254258 17441488 19089303 21672344 25452404 26162232 32508516 38178606 43344688 50904808 52324464 65017032 76357212 101809616 130034064 152714424 273613343 305428848 547226686 820840029 1094453372 1641680058 2188906744 3283360116 4377813488 6566720232 13133440464