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13303120992 = 253731363247
BaseRepresentation
bin11000110001110110…
…11000010001100000
31021100010011120021220
430120323120101200
5204221044332432
610040020015040
7650443443210
oct143073302140
937303146256
1013303120992
1157072a0777
1226b3231480
131340123235
14902b12240
1552cd7a72c
hex318ed8460

13303120992 has 96 divisors (see below), whose sum is σ = 40037501952. Its totient is φ = 3788688384.

The previous prime is 13303120991. The next prime is 13303121003. The reversal of 13303120992 is 29902130331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303120991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178713 + ... + 241959.

It is an arithmetic number, because the mean of its divisors is an integer number (417057312).

Almost surely, 213303120992 is an apocalyptic number.

13303120992 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 13303120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018750976).

13303120992 is an abundant number, since it is smaller than the sum of its proper divisors (26734380960).

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

13303120992 is a wasteful number, since it uses less digits than its factorization.

13303120992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63580 (or 63572 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 13303120992 in words is "thirteen billion, three hundred three million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 313 336 626 672 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 10016 13146 15024 17528 26292 30048 35056 52584 63247 70112 105168 126494 189741 210336 252988 379482 442729 505976 758964 885458 1011952 1328187 1517928 1770916 2023904 2656374 3035856 3541832 5312748 6071712 7083664 10625496 14167328 19796311 21250992 39592622 42501984 59388933 79185244 118777866 138574177 158370488 237555732 277148354 316740976 415722531 475111464 554296708 633481952 831445062 950222928 1108593416 1662890124 1900445856 2217186832 3325780248 4434373664 6651560496 13303120992