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540646646045 = 511172343584663
BaseRepresentation
bin1111101111000010000…
…11010010000100011101
31220200111121001021100112
413313201003102010131
532324221020133140
61052211501535405
754026504444522
oct7674103220435
91820447037315
10540646646045
11199317a34260
1288945574565
133bca117b81c
141c24b63b149
15e0e429dc65
hex7de10d211d

540646646045 has 64 divisors (see below), whose sum is σ = 800157118464. Its totient is φ = 345745720320.

The previous prime is 540646646017. The next prime is 540646646069.

540646646045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540646646045 - 214 = 540646629661 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540646645984 and 540646646002.

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 63 ways as a sum of consecutive naturals, for example, 632384 + ... + 1217046.

It is an arithmetic number, because the mean of its divisors is an integer number (12502454976).

Almost surely, 2540646646045 is an apocalyptic number.

540646646045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540646646045 is a deficient number, since it is larger than the sum of its proper divisors (259510472419).

540646646045 is a wasteful number, since it uses less digits than its factorization.

540646646045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584762.

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 540646646045 in words is "five hundred forty billion, six hundred forty-six million, six hundred forty-six thousand, forty-five".

Divisors: 1 5 11 17 23 43 55 85 115 187 215 253 391 473 731 935 989 1265 1955 2365 3655 4301 4945 8041 10879 16813 21505 40205 54395 84065 184943 584663 924715 2923315 6431293 9939271 13447249 25140509 32156465 49696355 67236245 109331981 125702545 147919739 228603233 276545599 427388653 546659905 578231707 739598695 1143016165 1382727995 2136943265 2514635563 2891158535 4701275183 6360548777 9829939019 12573177815 23506375915 31802743885 49149695095 108129329209 540646646045