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12290443246953 = 3310742110105037
BaseRepresentation
bin1011001011011001011110…
…0000001111110101101001
31121111221210010021202221000
42302312113200033311221
53102331311432400303
642050052432505213
72405645432615154
oct262662740176551
947457703252830
1012290443246953
113a09390890093
121465b786ab209
136b1ca3605021
14306c097bcc9b
15164a815c8da3
hexb2d9780fd69

12290443246953 has 32 divisors (see below), whose sum is σ = 18421888475520. Its totient is φ = 8097771648960.

The previous prime is 12290443246849. The next prime is 12290443246987. The reversal of 12290443246953 is 35964234409221.

It is a happy number.

12290443246953 is a `hidden beast` number, since 1 + 2 + 2 + 90 + 4 + 43 + 2 + 469 + 53 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12290443246953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12290443246953.

It is not an unprimeable number, because it can be changed into a prime (12290443246253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836250 + ... + 6268787.

It is an arithmetic number, because the mean of its divisors is an integer number (575684014860).

Almost surely, 212290443246953 is an apocalyptic number.

It is an amenable number.

12290443246953 is a deficient number, since it is larger than the sum of its proper divisors (6131445228567).

12290443246953 is a wasteful number, since it uses less digits than its factorization.

12290443246953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105574 (or 10105568 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 12290443246953 in words is "twelve trillion, two hundred ninety billion, four hundred forty-three million, two hundred forty-six thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 107 321 421 963 1263 2889 3789 11367 45047 135141 405423 1216269 10105037 30315111 90945333 272835999 1081238959 3243716877 4254220577 9731150631 12762661731 29193451893 38287985193 114863955579 455201601739 1365604805217 4096814415651 12290443246953