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540446202644045 = 51513793760724809
BaseRepresentation
bin111101011100010000110111…
…1111011011100011001001101
32121212120011010002111112021112
41322320201233323130121031
51031314132310334102140
65153233320305141405
7221556643501100525
oct17270415773343115
92555504102445245
10540446202644045
11147225a46a97585
125074611792a865
131a273b206b96c9
149765a42d84685
1542733a5310c65
hex1eb886fedc64d

540446202644045 has 32 divisors (see below), whose sum is σ = 653114661373440. Its totient is φ = 429306687129600.

The previous prime is 540446202643979. The next prime is 540446202644077.

It is a happy number.

540446202644045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540446202644045 - 218 = 540446202381901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540446202643984 and 540446202644002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21784267601 + ... + 21784292409.

It is an arithmetic number, because the mean of its divisors is an integer number (20409833167920).

Almost surely, 2540446202644045 is an apocalyptic number.

It is an amenable number.

540446202644045 is a deficient number, since it is larger than the sum of its proper divisors (112668458729395).

540446202644045 is a wasteful number, since it uses less digits than its factorization.

540446202644045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36365.

The product of its (nonzero) digits is 14745600, while the sum is 50.

It can be divided in two parts, 54044620 and 2644045, that added together give a palindrome (56688665).

The spelling of 540446202644045 in words is "five hundred forty trillion, four hundred forty-six billion, two hundred two million, six hundred forty-four thousand, forty-five".

Divisors: 1 5 151 755 3793 7607 18965 24809 38035 124045 572743 1148657 2863715 3746159 5743285 18730795 28853351 94100537 144266755 188722063 470502685 943610315 4356856001 14209181087 21784280005 28497031513 71045905435 142485157565 715822784959 3579113924795 108089240528809 540446202644045