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540654456045 = 3511329933797
BaseRepresentation
bin1111101111000011000…
…01000100110011101101
31220200112010202001122210
413313201201010303231
532324230020043140
61052212341201033
754026631023304
oct7674141046355
91820463661583
10540654456045
11199321389000
1288948100179
133bca2984622
141c24c6b143b
15e0e4ce2d80
hex7de1844ced

540654456045 has 64 divisors (see below), whose sum is σ = 984297795840. Its totient is φ = 253096067840.

The previous prime is 540654455953. The next prime is 540654456071.

It is a happy number.

540654456045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540654456045 - 221 = 540652358893 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540654455985 and 540654456003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112087 + ... + 1045883.

It is an arithmetic number, because the mean of its divisors is an integer number (15379653060).

Almost surely, 2540654456045 is an apocalyptic number.

540654456045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540654456045 is a deficient number, since it is larger than the sum of its proper divisors (443643339795).

540654456045 is a wasteful number, since it uses less digits than its factorization.

540654456045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933867 (or 933845 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 540654 and 456045, that added together give a palindrome (996699).

The spelling of 540654456045 in words is "five hundred forty billion, six hundred fifty-four million, four hundred fifty-six thousand, forty-five".

Divisors: 1 3 5 11 15 29 33 55 87 121 145 165 319 363 435 605 957 1331 1595 1815 3509 3993 4785 6655 10527 17545 19965 38599 52635 115797 192995 578985 933797 2801391 4668985 10271767 14006955 27080113 30815301 51358835 81240339 112989437 135400565 154076505 297881243 338968311 406201695 564947185 893643729 1242883807 1489406215 1694841555 3276693673 3728651421 4468218645 6214419035 9830081019 16383468365 18643257105 36043630403 49150405095 108130891209 180218152015 540654456045