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540664204544 = 282323992381
BaseRepresentation
bin1111101111000100001…
…10010000110100000000
31220200112211002100002022
413313202012100310000
532324240014021134
61052213330141012
754030106624502
oct7674206206400
91820484070068
10540664204544
11199326937212
128894b421768
133bca49b8879
141c24dacbd72
15e0e5abb52e
hex7de2190d00

540664204544 has 54 divisors (see below), whose sum is σ = 1128179282706. Its totient is φ = 258578467840.

The previous prime is 540664204541. The next prime is 540664204601. The reversal of 540664204544 is 445402466045.

It can be written as a sum of positive squares in only one way, i.e., 493523110144 + 47141094400 = 702512^2 + 217120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540664204495 and 540664204504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540664204541) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1860767 + ... + 2131614.

It is an arithmetic number, because the mean of its divisors is an integer number (20892208939).

Almost surely, 2540664204544 is an apocalyptic number.

It is an amenable number.

540664204544 is an abundant number, since it is smaller than the sum of its proper divisors (587515078162).

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

540664204544 is an equidigital number, since it uses as much as digits as its factorization.

540664204544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992443 (or 3992406 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

The spelling of 540664204544 in words is "five hundred forty billion, six hundred sixty-four million, two hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 16928 33856 67712 135424 3992381 7984762 15969524 31939048 63878096 91824763 127756192 183649526 255512384 367299052 511024768 734598104 1022049536 1469196208 2111969549 2938392416 4223939098 5876784832 8447878196 11753569664 16895756392 23507139328 33791512784 67583025568 135166051136 270332102272 540664204544