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12643615002641 = 729101361484519
BaseRepresentation
bin1011011111111101001000…
…1011100101000000010001
31122202201101021020212010212
42313333102023211000101
53124123110420041031
642520221353133505
72443320365166440
oct267772213450021
948681337225125
1012643615002641
114035144061427
1215025010ba295
1370939833335c
14319d505a6d57
1516dd51cec12b
hexb7fd22e5011

12643615002641 has 16 divisors (see below), whose sum is σ = 14962872787200. Its totient is φ = 10453351812288.

The previous prime is 12643615002619. The next prime is 12643615002647. The reversal of 12643615002641 is 14620051634621.

12643615002641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12643615002641 - 238 = 12368737095697 is a prime.

It is a super-2 number, since 2×126436150026412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12643615002647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30536621 + ... + 30947898.

It is an arithmetic number, because the mean of its divisors is an integer number (935179549200).

Almost surely, 212643615002641 is an apocalyptic number.

It is an amenable number.

12643615002641 is a deficient number, since it is larger than the sum of its proper divisors (2319257784559).

12643615002641 is a wasteful number, since it uses less digits than its factorization.

12643615002641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61485568.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 12643615002641 in words is "twelve trillion, six hundred forty-three billion, six hundred fifteen million, two thousand, six hundred forty-one".

Divisors: 1 7 29 203 1013 7091 29377 205639 61484519 430391633 1783051051 12481357357 62283817747 435986724229 1806230714663 12643615002641