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540056431650 = 23523600376211
BaseRepresentation
bin1111101101111011101…
…11110010110000100010
31220121222110110021102010
413312331313302300202
532322013421303100
61052033135333350
754006046633041
oct7667567626042
91817873407363
10540056431650
1119904485a46a
12887bb981256
133bc08acb038
141c1d30c0558
15e0ac565750
hex7dbddf2c22

540056431650 has 24 divisors (see below), whose sum is σ = 1339339950864. Its totient is φ = 144015048400.

The previous prime is 540056431643. The next prime is 540056431669. The reversal of 540056431650 is 56134650045.

It is a super-2 number, since 2×5400564316502 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 540056431599 and 540056431608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800187956 + ... + 1800188255.

It is an arithmetic number, because the mean of its divisors is an integer number (55805831286).

Almost surely, 2540056431650 is an apocalyptic number.

540056431650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540056431650 is an abundant number, since it is smaller than the sum of its proper divisors (799283519214).

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

540056431650 is a wasteful number, since it uses less digits than its factorization.

540056431650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600376226 (or 3600376221 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 540056431650 in words is "five hundred forty billion, fifty-six million, four hundred thirty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 3600376211 7200752422 10801128633 18001881055 21602257266 36003762110 54005643165 90009405275 108011286330 180018810550 270028215825 540056431650