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12517372006407 = 329733742547007
BaseRepresentation
bin1011011000100110110110…
…0000110001000000000111
31122022122112011210011210200
42312021231200301000013
53120041034213201112
642342222403421543
72431231101344022
oct266115540610007
948278464704720
1012517372006407
113a96651196894
1214a1b4a6848b3
136ca4c9920698
14313bb607a1b9
1516a913c0ecdc
hexb626d831007

12517372006407 has 24 divisors (see below), whose sum is σ = 18321252208896. Its totient is φ = 8234377353216.

The previous prime is 12517372006393. The next prime is 12517372006441. The reversal of 12517372006407 is 70460027371521.

12517372006407 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 7 + 37 + 200 + 6 + 407 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12517372006407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12517372006457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20979303 + ... + 21567704.

It is an arithmetic number, because the mean of its divisors is an integer number (763385508704).

Almost surely, 212517372006407 is an apocalyptic number.

12517372006407 is a deficient number, since it is larger than the sum of its proper divisors (5803880202489).

12517372006407 is a wasteful number, since it uses less digits than its factorization.

12517372006407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42547447 (or 42547444 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

Adding to 12517372006407 its reverse (70460027371521), we get a palindrome (82977399377928).

The spelling of 12517372006407 in words is "twelve trillion, five hundred seventeen billion, three hundred seventy-two million, six thousand, four hundred seven".

Divisors: 1 3 9 97 291 337 873 1011 3033 32689 98067 294201 42547007 127641021 382923063 4127059679 12381179037 14338341359 37143537111 43015024077 129045072231 1390819111823 4172457335469 12517372006407