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13044733000 = 2353131397219
BaseRepresentation
bin11000010011000011…
…01101010001001000
31020200002222002121021
430021201231101020
5203203422424000
65554225522224
7641155254355
oct141141552110
936602862537
1013044733000
115594458a82
1226407a3374
1312cb734930
148ba69162c
1551533b11a
hex30986d448

13044733000 has 128 divisors (see below), whose sum is σ = 33113808000. Its totient is φ = 4781203200.

The previous prime is 13044732983. The next prime is 13044733007. The reversal of 13044733000 is 33744031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13044733007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803391 + ... + 1810609.

It is an arithmetic number, because the mean of its divisors is an integer number (258701625).

Almost surely, 213044733000 is an apocalyptic number.

13044733000 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 13044733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556904000).

13044733000 is an abundant number, since it is smaller than the sum of its proper divisors (20069075000).

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

13044733000 is a wasteful number, since it uses less digits than its factorization.

13044733000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The spelling of 13044733000 in words is "thirteen billion, forty-four million, seven hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 139 200 250 260 278 325 500 520 556 650 695 1000 1112 1300 1390 1625 1807 2600 2780 3250 3475 3614 5560 6500 6950 7219 7228 9035 13000 13900 14438 14456 17375 18070 27800 28876 34750 36095 36140 45175 57752 69500 72190 72280 90350 93847 139000 144380 180475 180700 187694 225875 288760 360950 361400 375388 451750 469235 721900 750776 902375 903500 938470 1003441 1443800 1804750 1807000 1876940 2006882 2346175 3609500 3753880 4013764 4692350 5017205 7219000 8027528 9384700 10034410 11730875 13044733 18769400 20068820 23461750 25086025 26089466 40137640 46923500 50172050 52178932 65223665 93847000 100344100 104357864 125430125 130447330 200688200 250860250 260894660 326118325 501720500 521789320 652236650 1003441000 1304473300 1630591625 2608946600 3261183250 6522366500 13044733000