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540112316616 = 2332191364310781
BaseRepresentation
bin1111101110000010011…
…00111110100011001000
31220122010100121112011200
413313001030332203020
532322122223112431
61052042453224200
754010325641005
oct7670114764310
91818110545150
10540112316616
1119907335a694
1288816632060
133bc17566c72
141c1da6aa8ac
15e0b2403ee6
hex7dc133e8c8

540112316616 has 96 divisors (see below), whose sum is σ = 1471002923520. Its totient is φ = 179029065600.

The previous prime is 540112316591. The next prime is 540112316633. The reversal of 540112316616 is 616613211045.

540112316616 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 1 + 2 + 31 + 6 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50093146 + ... + 50103926.

It is an arithmetic number, because the mean of its divisors is an integer number (15322947120).

Almost surely, 2540112316616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540112316616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735501461760).

540112316616 is an abundant number, since it is smaller than the sum of its proper divisors (930890606904).

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

540112316616 is a wasteful number, since it uses less digits than its factorization.

540112316616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14627 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 540112316616 in words is "five hundred forty billion, one hundred twelve million, three hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 3643 4584 6876 7286 10781 10929 13752 14572 21562 21858 29144 32343 32787 43124 43716 64686 65574 86248 87432 97029 129372 131148 194058 258744 262296 388116 695813 776232 1391626 2059171 2087439 2783252 4118342 4174878 5566504 6177513 6262317 8236684 8349756 12355026 12524634 16473368 16699512 18532539 24710052 25049268 37065078 39275183 49420104 50098536 74130156 78550366 117825549 148260312 157100732 235651098 314201464 353476647 471302196 706953294 942604392 1413906588 2827813176 7501559953 15003119906 22504679859 30006239812 45009359718 60012479624 67514039577 90018719436 135028079154 180037438872 270056158308 540112316616