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5463993645 = 335113679457
BaseRepresentation
bin1010001011010110…
…11110110100101101
3112002210110122012000
411011223132310231
542142240244040
62302104202513
7252255115425
oct50553366455
915083418160
105463993645
112354311330
121085a69439
13691017b46
1439b963485
1521ea5b130
hex145aded2d

5463993645 has 32 divisors (see below), whose sum is σ = 10596839040. Its totient is φ = 2649208320.

The previous prime is 5463993631. The next prime is 5463993653.

5463993645 is a `hidden beast` number, since 546 + 3 + 9 + 93 + 6 + 4 + 5 = 666.

5463993645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5463993645 - 211 = 5463991597 is a prime.

It is a super-3 number, since 3×54639936453 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5463993591 and 5463993600.

It is a congruent number.

It is an unprimeable number.

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, 1838244 + ... + 1841213.

It is an arithmetic number, because the mean of its divisors is an integer number (331151220).

Almost surely, 25463993645 is an apocalyptic number.

5463993645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5463993645 is a deficient number, since it is larger than the sum of its proper divisors (5132845395).

5463993645 is a wasteful number, since it uses less digits than its factorization.

5463993645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679482 (or 3679476 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 5463993645 is about 73918.8314639781. The cubic root of 5463993645 is about 1761.3137622250.

The spelling of 5463993645 in words is "five billion, four hundred sixty-three million, nine hundred ninety-three thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 3679457 11038371 18397285 33115113 40474027 55191855 99345339 121422081 165575565 202370135 364266243 496726695 607110405 1092798729 1821331215 5463993645