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14385612967956 = 22322411658092781
BaseRepresentation
bin1101000101010110100101…
…0110011101000000010100
31212221020210002202101000200
43101111221112131000110
53341143213404433311
650332354231140500
73013216620451536
oct321255126350024
955836702671020
1014385612967956
1146469a454095a
121744040814730
13804732a32579
1437a3a59ab856
1519e309712556
hexd156959d014

14385612967956 has 36 divisors (see below), whose sum is σ = 36514519245204. Its totient is φ = 4775307206400.

The previous prime is 14385612967829. The next prime is 14385612967967. The reversal of 14385612967956 is 65976921658341.

It is a happy number.

14385612967956 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 561 + 2 + 9 + 6 + 7 + 9 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6181856759556 + 8203756208400 = 2486334^2 + 2864220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 829037715 + ... + 829055066.

Almost surely, 214385612967956 is an apocalyptic number.

It is an amenable number.

14385612967956 is an abundant number, since it is smaller than the sum of its proper divisors (22128906277248).

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

14385612967956 is a wasteful number, since it uses less digits than its factorization.

14385612967956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658093032 (or 1658093027 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 14385612967956 in words is "fourteen trillion, three hundred eighty-five billion, six hundred twelve million, nine hundred sixty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 1658092781 3316185562 4974278343 6632371124 9948556686 14922835029 19897113372 29845670058 59691340116 399600360221 799200720442 1198801080663 1598401440884 2397602161326 3596403241989 4795204322652 7192806483978 14385612967956