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13042838970 = 233576900973
BaseRepresentation
bin11000010010110100…
…11110110110111010
31020122222101212111000
430021122132312322
5203202431321340
65554121145430
7641133205410
oct141132366672
936588355430
1013042838970
115593384a67
12264002b276
1312cb2207c5
148ba31b2b0
155150b4d30
hex30969edba

13042838970 has 64 divisors (see below), whose sum is σ = 39749610240. Its totient is φ = 2981219904.

The previous prime is 13042838969. The next prime is 13042838981. The reversal of 13042838970 is 7983824031.

13042838970 is a `hidden beast` number, since 130 + 428 + 3 + 8 + 97 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3448597 + ... + 3452376.

It is an arithmetic number, because the mean of its divisors is an integer number (621087660).

Almost surely, 213042838970 is an apocalyptic number.

13042838970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13042838970 is an abundant number, since it is smaller than the sum of its proper divisors (26706771270).

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

13042838970 is a wasteful number, since it uses less digits than its factorization.

13042838970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900996 (or 6900990 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13042838970 in words is "thirteen billion, forty-two million, eight hundred thirty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6900973 13801946 20702919 34504865 41405838 48306811 62108757 69009730 96613622 103514595 124217514 144920433 186326271 207029190 241534055 289840866 310543785 372652542 434761299 483068110 621087570 724602165 869522598 931631355 1304283897 1449204330 1863262710 2173806495 2608567794 4347612990 6521419485 13042838970