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5040364630405 = 513404919151413
BaseRepresentation
bin100100101011000110100…
…1001001011000110000101
3122211212001200021210210111
41021112031021023012011
51130040131321133110
614415302254353021
71030103635313266
oct111261511130605
918755050253714
105040364630405
111673674482845
12694a33abb771
132a73c5853060
14135d5254c96d
158b1a1231e8a
hex4958d24b185

5040364630405 has 16 divisors (see below), whose sum is σ = 6515311042800. Its totient is φ = 3721195957248.

The previous prime is 5040364630397. The next prime is 5040364630421.

It is a happy number.

5040364630405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 777188585889 + 4263176044516 = 881583^2 + 2064746^2 .

It is a cyclic number.

It is not a de Polignac number, because 5040364630405 - 23 = 5040364630397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9312522 + ... + 9838891.

It is an arithmetic number, because the mean of its divisors is an integer number (407206940175).

Almost surely, 25040364630405 is an apocalyptic number.

It is an amenable number.

5040364630405 is a deficient number, since it is larger than the sum of its proper divisors (1474946412395).

5040364630405 is a wasteful number, since it uses less digits than its factorization.

5040364630405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19155480.

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 5040364630405 in words is "five trillion, forty billion, three hundred sixty-four million, six hundred thirty thousand, four hundred five".

Divisors: 1 5 13 65 4049 20245 52637 263185 19151413 95757065 248968369 1244841845 77544071237 387720356185 1008072926081 5040364630405