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12718513900 = 2252971399433
BaseRepresentation
bin10111101100001010…
…10001111011101100
31012211101010110010101
423312011101323230
5202021414421100
65502013520444
7630114404311
oct136605217354
935741113111
1012718513900
1154372a6814
12256b4a3124
131278c86a91
14889214d08
154e689d86a
hex2f6151eec

12718513900 has 72 divisors (see below), whose sum is σ = 28087282160. Its totient is φ = 4998205440.

The previous prime is 12718513867. The next prime is 12718513901. The reversal of 12718513900 is 931581721.

It is a self number, because there is not a number n which added to its sum of digits gives 12718513900.

It is not an unprimeable number, because it can be changed into a prime (12718513901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1343584 + ... + 1353016.

Almost surely, 212718513900 is an apocalyptic number.

12718513900 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 12718513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043641080).

12718513900 is an abundant number, since it is smaller than the sum of its proper divisors (15368768260).

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

12718513900 is a wasteful number, since it uses less digits than its factorization.

12718513900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 12718513900 in words is "twelve billion, seven hundred eighteen million, five hundred thirteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 139 194 278 388 485 556 695 970 1390 1940 2425 2780 3475 4850 6950 9433 9700 13483 13900 18866 26966 37732 47165 53932 67415 94330 134830 188660 235825 269660 337075 471650 674150 915001 943300 1311187 1348300 1830002 2622374 3660004 4575005 5244748 6555935 9150010 13111870 18300020 22875025 26223740 32779675 45750050 65559350 91500100 127185139 131118700 254370278 508740556 635925695 1271851390 2543702780 3179628475 6359256950 12718513900