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540051606324 = 2232123731212433
BaseRepresentation
bin1111101101111011001…
…01011000101100110100
31220121222010101010022100
413312331211120230310
532322011202400244
61052032444102100
754005660625036
oct7667545305464
91817863333270
10540051606324
1119904206409a
12887ba234930
133bc07acb909
141c1d25c5c56
15e0abe10b69
hex7dbd958b34

540051606324 has 36 divisors (see below), whose sum is σ = 1365241906756. Its totient is φ = 180002504448.

The previous prime is 540051606317. The next prime is 540051606377. The reversal of 540051606324 is 423606150045.

540051606324 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 5 + 16 + 0 + 632 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166571729424 + 373479876900 = 408132^2 + 611130^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160789 + ... + 1051644.

Almost surely, 2540051606324 is an apocalyptic number.

It is an amenable number.

540051606324 is an abundant number, since it is smaller than the sum of its proper divisors (825190300432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540051606324 is a wasteful number, since it uses less digits than its factorization.

540051606324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224816 (or 1224811 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 540051606324 its reverse (423606150045), we get a palindrome (963657756369).

The spelling of 540051606324 in words is "five hundred forty billion, fifty-one million, six hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12373 24746 37119 49492 74238 111357 148476 222714 445428 1212433 2424866 3637299 4849732 7274598 10911897 14549196 21823794 43647588 15001433509 30002867018 45004300527 60005734036 90008601054 135012901581 180017202108 270025803162 540051606324