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10643368958881 = 1727714531555553
BaseRepresentation
bin1001101011100001101000…
…1110011101101110100001
31101200111101200102200120221
42122320122032131232201
52343340104423141011
634345255102403041
72145646414304551
oct232703216355641
941614350380527
1010643368958881
11343391133a29a
12123a90a890481
135c2885b13279
1428b1db18b161
15136cd241c971
hex9ae1a39dba1

10643368958881 has 16 divisors (see below), whose sum is σ = 11317924682064. Its totient is φ = 9974249201664.

The previous prime is 10643368958857. The next prime is 10643368958927. The reversal of 10643368958881 is 18885986334601.

It can be written as a sum of positive squares in 8 ways, for example, as 1442557134225 + 9200811824656 = 1201065^2 + 3033284^2 .

It is a cyclic number.

It is not a de Polignac number, because 10643368958881 - 219 = 10643368434593 is a prime.

It is a super-2 number, since 2×106433689588812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10643368958881.

It is not an unprimeable number, because it can be changed into a prime (10643368958821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6064401 + ... + 7619953.

It is an arithmetic number, because the mean of its divisors is an integer number (707370292629).

Almost surely, 210643368958881 is an apocalyptic number.

It is an amenable number.

10643368958881 is a deficient number, since it is larger than the sum of its proper divisors (674555723183).

10643368958881 is a wasteful number, since it uses less digits than its factorization.

10643368958881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557300.

The product of its (nonzero) digits is 238878720, while the sum is 70.

The spelling of 10643368958881 in words is "ten trillion, six hundred forty-three billion, three hundred sixty-eight million, nine hundred fifty-eight thousand, eight hundred eighty-one".

Divisors: 1 17 277 1453 4709 24701 402481 1555553 6842177 26444401 430888181 2260218509 7325099077 38423714653 626080526993 10643368958881