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12350868894 = 23271312496037
BaseRepresentation
bin10111000000010101…
…10100110110011110
31011212202100010222200
423200022310312132
5200243310301034
65401321552330
7615031440060
oct134012646636
934782303880
1012350868894
11526881a671
1224883456a6
13121aa63360
14852473730
154c447ba99
hex2e02b4d9e

12350868894 has 96 divisors (see below), whose sum is σ = 32967480000. Its totient is φ = 3254224896.

The previous prime is 12350868863. The next prime is 12350868911. The reversal of 12350868894 is 49886805321.

12350868894 is a `hidden beast` number, since 123 + 508 + 6 + 8 + 8 + 9 + 4 = 666.

12350868894 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12350868894.

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, 2042844 + ... + 2048880.

It is an arithmetic number, because the mean of its divisors is an integer number (343411250).

Almost surely, 212350868894 is an apocalyptic number.

12350868894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12350868894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483740000).

12350868894 is an abundant number, since it is smaller than the sum of its proper divisors (20616611106).

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

12350868894 is a wasteful number, since it uses less digits than its factorization.

12350868894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12350868894 in words is "twelve billion, three hundred fifty million, eight hundred sixty-eight thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1249 1638 2498 3747 6037 7494 8743 11241 12074 16237 17486 18111 22482 26229 32474 36222 42259 48711 52458 54333 78481 78687 84518 97422 108666 113659 126777 146133 156962 157374 227318 235443 253554 292266 340977 380331 470886 549367 681954 706329 760662 1022931 1098734 1412658 1648101 2045862 3296202 4944303 7540213 9888606 15080426 22620639 45241278 52781491 67861917 98022769 105562982 135723834 158344473 196045538 294068307 316688946 475033419 588136614 686159383 882204921 950066838 1372318766 1764409842 2058478149 4116956298 6175434447 12350868894