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540364072173606 = 23373351031390503
BaseRepresentation
bin111101011011101010101000…
…0100100100100000000100110
32121212021022010021112100021000
41322313111100210210000212
51031311311104434023411
65153131454444134130
7221551005306444042
oct17267252044440046
92555238107470230
10540364072173606
111471a413053052a
1250732216537346
131a2691620888c5
149761a912ab022
154271199cab956
hex1eb7550924026

540364072173606 has 64 divisors (see below), whose sum is σ = 1217265073136640. Its totient is φ = 177652980509760.

The previous prime is 540364072173599. The next prime is 540364072173623. The reversal of 540364072173606 is 606371270463045.

540364072173606 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 6 + 4 + 0 + 7 + 21 + 7 + 3 + 606 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 1383568951 + ... + 1383959453.

It is an arithmetic number, because the mean of its divisors is an integer number (19019766767760).

Almost surely, 2540364072173606 is an apocalyptic number.

540364072173606 is an abundant number, since it is smaller than the sum of its proper divisors (676901000963034).

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

540364072173606 is a wasteful number, since it uses less digits than its factorization.

540364072173606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741618 (or 741612 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 540364072173606 in words is "five hundred forty trillion, three hundred sixty-four billion, seventy-two million, one hundred seventy-three thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 351031 390503 702062 781006 1053093 1171509 2106186 2343018 3159279 3514527 6318558 7029054 9477837 10543581 18955674 21087162 25625263 28506719 51250526 57013438 76875789 85520157 153751578 171040314 230627367 256560471 461254734 513120942 691882101 769681413 1383764202 1539362826 137078658593 274157317186 411235975779 822471951558 1233707927337 2467415854674 3701123782011 7402247564022 10006742077289 20013484154578 30020226231867 60040452463734 90060678695601 180121357391202 270182036086803 540364072173606