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13383029790 = 2345131270943
BaseRepresentation
bin11000111011011000…
…01101010000011110
31021112200112100120000
430131230031100132
5204402023423130
610051552435130
7652433606364
oct143554152036
937480470500
1013383029790
11574840a3a9
122715b48aa6
131353850c50
1490d593634
15534db2260
hex31db0d41e

13383029790 has 80 divisors (see below), whose sum is σ = 38753624448. Its totient is φ = 3294281664.

The previous prime is 13383029783. The next prime is 13383029819. The reversal of 13383029790 is 9792038331.

13383029790 is a `hidden beast` number, since 1 + 338 + 302 + 9 + 7 + 9 + 0 = 666.

13383029790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 624942 + ... + 646001.

Almost surely, 213383029790 is an apocalyptic number.

13383029790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13383029790 is an abundant number, since it is smaller than the sum of its proper divisors (25370594658).

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

13383029790 is a wasteful number, since it uses less digits than its factorization.

13383029790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270975 (or 1270966 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13383029790 in words is "thirteen billion, three hundred eighty-three million, twenty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 1270943 2541886 3812829 6354715 7625658 11438487 12709430 16522259 19064145 22876974 33044518 34315461 38128290 49566777 57192435 68630922 82611295 99133554 102946383 114384870 148700331 165222590 171577305 205892766 247833885 297400662 343154610 446100993 495667770 514731915 743501655 892201986 1029463830 1338302979 1487003310 2230504965 2676605958 4461009930 6691514895 13383029790