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12709570950 = 2335264714551
BaseRepresentation
bin10111101011000110…
…01010100110000110
31012210202022002201000
423311203022212012
5202012122232300
65501054114130
7626645366466
oct136543124606
935722262630
1012709570950
11543224884a
1225684ab946
1312771753ab
14887d67ba6
154e5bd3c00
hex2f58ca986

12709570950 has 96 divisors (see below), whose sum is σ = 35078469120. Its totient is φ = 3383748000.

The previous prime is 12709570949. The next prime is 12709570961. The reversal of 12709570950 is 5907590721.

12709570950 is a `hidden beast` number, since 1 + 2 + 70 + 9 + 570 + 9 + 5 + 0 = 666.

12709570950 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12709570896 and 12709570905.

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 47 ways as a sum of consecutive naturals, for example, 866175 + ... + 880725.

It is an arithmetic number, because the mean of its divisors is an integer number (365400720).

Almost surely, 212709570950 is an apocalyptic number.

12709570950 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 12709570950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539234560).

12709570950 is an abundant number, since it is smaller than the sum of its proper divisors (22368898170).

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

12709570950 is a wasteful number, since it uses less digits than its factorization.

12709570950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15219 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 12709570950 in words is "twelve billion, seven hundred nine million, five hundred seventy thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 647 675 1294 1350 1941 3235 3882 5823 6470 9705 11646 14551 16175 17469 19410 29102 29115 32350 34938 43653 48525 58230 72755 87306 87345 97050 130959 145510 145575 174690 218265 261918 291150 363775 392877 436530 436725 654795 727550 785754 873450 1091325 1309590 1964385 2182650 3273975 3928770 6547950 9414497 9821925 18828994 19643850 28243491 47072485 56486982 84730473 94144970 141217455 169460946 235362425 254191419 282434910 423652365 470724850 508382838 706087275 847304730 1270957095 1412174550 2118261825 2541914190 4236523650 6354785475 12709570950