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6077755540 = 2254113953323
BaseRepresentation
bin1011010100100001…
…10011000010010100
3120200120100222020001
411222100303002110
544421401134130
62443031221044
7303420032623
oct55220630224
916616328201
106077755540
11263980976a
121217517784
1375b22166c
1441928d6ba
152588966ca
hex16a433094

6077755540 has 48 divisors (see below), whose sum is σ = 13168895040. Its totient is φ = 2354699520.

The previous prime is 6077755513. The next prime is 6077755553. The reversal of 6077755540 is 455577706.

It is a super-2 number, since 2×60777555402 = 73878224808001383200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87319 + ... + 140641.

It is an arithmetic number, because the mean of its divisors is an integer number (274351980).

Almost surely, 26077755540 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 6077755540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584447520).

6077755540 is an abundant number, since it is smaller than the sum of its proper divisors (7091139500).

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

6077755540 is a wasteful number, since it uses less digits than its factorization.

6077755540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53512 (or 53510 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 46.

The square root of 6077755540 is about 77959.9611339051. The cubic root of 6077755540 is about 1824.9364376436.

The spelling of 6077755540 in words is "six billion, seventy-seven million, seven hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 139 164 205 278 410 556 695 820 1390 2780 5699 11398 22796 28495 53323 56990 106646 113980 213292 266615 533230 1066460 2186243 4372486 7411897 8744972 10931215 14823794 21862430 29647588 37059485 43724860 74118970 148237940 303887777 607775554 1215551108 1519438885 3038877770 6077755540