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540333333045 = 325113237133721
BaseRepresentation
bin1111101110011100110…
…00000101101000110101
31220122200202111022201100
413313032120011220311
532323100313124140
61052120430320313
754015651356532
oct7671630055065
91818622438640
10540333333045
111991770975a0
1288878659099
133bc5129c20c
141c21bb9dd89
15e0c6a10530
hex7dce605a35

540333333045 has 48 divisors (see below), whose sum is σ = 1021783074624. Its totient is φ = 261963936000.

The previous prime is 540333332953. The next prime is 540333333083.

540333333045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540333333045 - 212 = 540333328949 is a prime.

It is a super-2 number, since 2×5403333330452 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16006785 + ... + 16040505.

It is an arithmetic number, because the mean of its divisors is an integer number (21287147388).

Almost surely, 2540333333045 is an apocalyptic number.

540333333045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540333333045 is a deficient number, since it is larger than the sum of its proper divisors (481449741579).

540333333045 is a wasteful number, since it uses less digits than its factorization.

540333333045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66114 (or 66111 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 36.

It can be divided in two parts, 540333 and 333045, that added together give a palindrome (873378).

The spelling of 540333333045 in words is "five hundred forty billion, three hundred thirty-three million, three hundred thirty-three thousand, forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 32371 33721 97113 101163 161855 168605 291339 303489 356081 370931 485565 505815 1068243 1112793 1456695 1517445 1780405 1854655 3204729 3338379 5341215 5563965 16023645 16691895 1091582491 3274747473 5457912455 9824242419 12007407401 16373737365 36022222203 49121212095 60037037005 108066666609 180111111015 540333333045