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12749338530 = 23251730727143
BaseRepresentation
bin10111101111110101…
…10111011110100010
31012220112010111120100
423313322313132202
5202102312313110
65505034323230
7630640406115
oct136772673642
935815114510
1012749338530
11545273a815
122579889516
13128248a1c6
1488d35a57c
154e943bbc0
hex2f7eb77a2

12749338530 has 96 divisors (see below), whose sum is σ = 35213802624. Its totient is φ = 3189293568.

The previous prime is 12749338517. The next prime is 12749338573. The reversal of 12749338530 is 3583394721.

12749338530 is a `hidden beast` number, since 1 + 27 + 4 + 93 + 3 + 8 + 530 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456139 + ... + 483281.

It is an arithmetic number, because the mean of its divisors is an integer number (366810444).

Almost surely, 212749338530 is an apocalyptic number.

12749338530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12749338530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606901312).

12749338530 is an abundant number, since it is smaller than the sum of its proper divisors (22464464094).

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

12749338530 is a wasteful number, since it uses less digits than its factorization.

12749338530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27480 (or 27477 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12749338530 in words is "twelve billion, seven hundred forty-nine million, three hundred thirty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 307 510 614 765 921 1530 1535 1842 2763 3070 4605 5219 5526 9210 10438 13815 15657 26095 27143 27630 31314 46971 52190 54286 78285 81429 93942 135715 156570 162858 234855 244287 271430 407145 461431 469710 488574 814290 922862 1221435 1384293 2307155 2442870 2768586 4152879 4614310 6921465 8305758 8332901 13842930 16665802 20764395 24998703 41528790 41664505 49997406 74996109 83329010 124993515 141659317 149992218 249987030 283318634 374980545 424977951 708296585 749961090 849955902 1274933853 1416593170 2124889755 2549867706 4249779510 6374669265 12749338530