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61782069060 = 22335114411239
BaseRepresentation
bin111001100010011111…
…111000111101000100
312220110200212021221000
4321202133320331010
52003012202202220
644214324053300
74315005631215
oct714237707504
9186420767830
1061782069060
1124224404a08
12bb82834230
135a97a0c81a
142dc141d40c
151918e18390
hexe627f8f44

61782069060 has 48 divisors (see below), whose sum is σ = 192210883200. Its totient is φ = 16475218272.

The previous prime is 61782069043. The next prime is 61782069073. The reversal of 61782069060 is 6096028716.

61782069060 is a `hidden beast` number, since 617 + 8 + 20 + 6 + 9 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 61782068997 and 61782069015.

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, 57205080 + ... + 57206159.

It is an arithmetic number, because the mean of its divisors is an integer number (4004393400).

Almost surely, 261782069060 is an apocalyptic number.

61782069060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61782069060 is an abundant number, since it is smaller than the sum of its proper divisors (130428814140).

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

61782069060 is a wasteful number, since it uses less digits than its factorization.

61782069060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114411257 (or 114411249 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 61782069060 in words is "sixty-one billion, seven hundred eighty-two million, sixty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 114411239 228822478 343233717 457644956 572056195 686467434 1029701151 1144112390 1372934868 1716168585 2059402302 2288224780 3089103453 3432337170 4118804604 5148505755 6178206906 6864674340 10297011510 12356413812 15445517265 20594023020 30891034530 61782069060