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540640807985328 = 243431172991510669
BaseRepresentation
bin111101011101101011011111…
…1010011111010000010110000
32121220020202102110210011020020
41322323112333103322002300
51031330324333321012303
65153502543005043440
7221610003135152541
oct17273267723720260
92556222373704206
10540640807985328
111472a052a6a3846
1250777988856580
131a28929518891b
1497712247d04c8
154278494d72a53
hex1ebb5bf4fa0b0

540640807985328 has 80 divisors (see below), whose sum is σ = 1399977770688000. Its totient is φ = 179784961240320.

The previous prime is 540640807985297. The next prime is 540640807985347. The reversal of 540640807985328 is 823589708046045.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 357126378 + ... + 358637046.

It is an arithmetic number, because the mean of its divisors is an integer number (17499722133600).

Almost surely, 2540640807985328 is an apocalyptic number.

It is an amenable number.

540640807985328 is an abundant number, since it is smaller than the sum of its proper divisors (859336962702672).

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

540640807985328 is a wasteful number, since it uses less digits than its factorization.

540640807985328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528410 (or 1528404 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 69.

The spelling of 540640807985328 in words is "five hundred forty trillion, six hundred forty billion, eight hundred seven million, nine hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 431 862 1293 1724 2586 3448 5172 6896 10344 17299 20688 34598 51897 69196 103794 138392 207588 276784 415176 830352 1510669 3021338 4532007 6042676 7455869 9064014 12085352 14911738 18128028 22367607 24170704 29823476 36256056 44735214 59646952 72512112 89470428 119293904 178940856 357881712 651098339 1302196678 1953295017 2604393356 3906590034 5208786712 7813180068 10417573424 15626360136 26133063031 31252720272 52266126062 78399189093 104532252124 156798378186 209064504248 313596756372 418129008496 627193512744 1254387025488 11263350166361 22526700332722 33790050499083 45053400665444 67580100998166 90106801330888 135160201996332 180213602661776 270320403992664 540640807985328