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540053061200 = 24525325474201
BaseRepresentation
bin1111101101111011010…
…10111011111001010000
31220121222020010001000122
413312331222323321100
532322012040424300
61052032535205412
754006006164462
oct7667552737120
91817866101018
10540053061200
11199042968174
12887ba816868
133bc081baba3
141c1d2884132
15e0ac0ebc85
hex7dbdabbe50

540053061200 has 60 divisors (see below), whose sum is σ = 1321958238588. Its totient is φ = 211945344000.

The previous prime is 540053061199. The next prime is 540053061211. The reversal of 540053061200 is 2160350045.

It can be written as a sum of positive squares in 6 ways, for example, as 26009948176 + 514043113024 = 161276^2 + 716968^2 .

It is a super-2 number, since 2×5400530612002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540053061200.

It is a congruent number.

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, 12715901 + ... + 12758300.

Almost surely, 2540053061200 is an apocalyptic number.

540053061200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540053061200 is an abundant number, since it is smaller than the sum of its proper divisors (781905177388).

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

540053061200 is a wasteful number, since it uses less digits than its factorization.

540053061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25474272 (or 25474261 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 540053061200 in words is "five hundred forty billion, fifty-three million, sixty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 25474201 50948402 101896804 127371005 203793608 254742010 407587216 509484020 636855025 1018968040 1273710050 1350132653 2037936080 2547420100 2700265306 5094840200 5400530612 6750663265 10189680400 10801061224 13501326530 21602122448 27002653060 33753316325 54005306120 67506632650 108010612240 135013265300 270026530600 540053061200