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540664446320 = 245172317284669
BaseRepresentation
bin1111101111000100001…
…11001011110101110000
31220200112211112121201222
413313202013023311300
532324240044240240
61052213335244212
754030111652415
oct7674207136560
91820484477658
10540664446320
11199326a91929
128894b519668
133bca4a7192b
141c24db5210c
15e0e5b17eb5
hex7de21cbd70

540664446320 has 80 divisors (see below), whose sum is σ = 1388857803840. Its totient is φ = 194694500352.

The previous prime is 540664446307. The next prime is 540664446359. The reversal of 540664446320 is 23644466045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8611055 + ... + 8673614.

It is an arithmetic number, because the mean of its divisors is an integer number (17360722548).

Almost surely, 2540664446320 is an apocalyptic number.

It is an amenable number.

540664446320 is an abundant number, since it is smaller than the sum of its proper divisors (848193357520).

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

540664446320 is a wasteful number, since it uses less digits than its factorization.

540664446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284722 (or 17284716 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 540664446320 in words is "five hundred forty billion, six hundred sixty-four million, four hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 15640 31280 17284669 34569338 69138676 86423345 138277352 172846690 276554704 293839373 345693380 397547387 587678746 691386760 795094774 1175357492 1382773520 1469196865 1590189548 1987736935 2350714984 2938393730 3180379096 3975473870 4701429968 5876787460 6360758192 6758305579 7950947740 11753574920 13516611158 15901895480 23507149840 27033222316 31803790960 33791527895 54066444632 67583055790 108132889264 135166111580 270332223160 540664446320