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13033433412 = 22331397691129
BaseRepresentation
bin11000010001101101…
…00110100101000100
31020122022201000111000
430020312212211010
5203143024332122
65553143413300
7640660233066
oct141066464504
936568630430
1013033433412
11558904047a
122638a54230
1312c92a969c
148b8d8d736
155143580ac
hex308da6944

13033433412 has 96 divisors (see below), whose sum is σ = 34107920000. Its totient is φ = 4303798272.

The previous prime is 13033433407. The next prime is 13033433453. The reversal of 13033433412 is 21433433031.

13033433412 is a `hidden beast` number, since 1 + 303 + 343 + 3 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11543664 + ... + 11544792.

Almost surely, 213033433412 is an apocalyptic number.

13033433412 is a gapful number since it is divisible by the number (12) 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 13033433412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053960000).

13033433412 is an abundant number, since it is smaller than the sum of its proper divisors (21074486588).

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

13033433412 is a wasteful number, since it uses less digits than its factorization.

13033433412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13033433412 its reverse (21433433031), we get a palindrome (34466866443).

The spelling of 13033433412 in words is "thirteen billion, thirty-three million, four hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 769 834 1129 1251 1538 1668 2258 2307 2502 3076 3387 3753 4516 4614 5004 6774 6921 7506 9228 10161 13548 13842 15012 20322 20763 27684 30483 40644 41526 60966 83052 106891 121932 156931 213782 313862 320673 427564 470793 627724 641346 868201 941586 962019 1282692 1412379 1736402 1883172 1924038 2604603 2824758 2886057 3472804 3848076 4237137 5209206 5649516 5772114 7813809 8474274 10418412 11544228 15627618 16948548 23441427 31255236 46882854 93765708 120679939 241359878 362039817 482719756 724079634 1086119451 1448159268 2172238902 3258358353 4344477804 6516716706 13033433412