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12323610431567 = 5310113917395737
BaseRepresentation
bin1011001101010101000001…
…1011000001000001001111
31121122010101121012022210222
42303111100123001001033
53103402223232302232
642113215524421555
72411231361211331
oct263252033010117
947563347168728
1012323610431567
113a214608a3866
1214704942478bb
136b515abb9356
1430867470d451
151658732bcd12
hexb35506c104f

12323610431567 has 32 divisors (see below), whose sum is σ = 12845634661440. Its totient is φ = 11816426419200.

The previous prime is 12323610431527. The next prime is 12323610431641. The reversal of 12323610431567 is 76513401632321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12323610431567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323610431507) 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 31 ways as a sum of consecutive naturals, for example, 128675723 + ... + 128771459.

It is an arithmetic number, because the mean of its divisors is an integer number (401426083170).

Almost surely, 212323610431567 is an apocalyptic number.

12323610431567 is a deficient number, since it is larger than the sum of its proper divisors (522024229873).

12323610431567 is a wasteful number, since it uses less digits than its factorization.

12323610431567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96203.

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 12323610431567 in words is "twelve trillion, three hundred twenty-three billion, six hundred ten million, four hundred thirty-one thousand, five hundred sixty-seven".

Divisors: 1 53 101 139 173 5353 7367 9169 14039 17473 24047 95737 744067 926069 1274491 2428747 5074061 9669437 13307443 16562501 128723591 512480161 705294479 877812553 1344051743 1672812601 2302187639 71234742379 88659067853 122015944867 232520951539 12323610431567