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1066056353010 = 233511358941533
BaseRepresentation
bin11111000001101011110…
…10010000010011110010
310202220200022002211201000
433200311322100103302
5114431240411244020
62133423423222430
7140006604326415
oct17406572202362
93686608084630
101066056353010
11381126023680
12152738147a16
13796b469275c
14398513b7b7c
151cae5a34090
hexf835e904f2

1066056353010 has 64 divisors (see below), whose sum is σ = 3101254853760. Its totient is φ = 258437903040.

The previous prime is 1066056352979. The next prime is 1066056353027. The reversal of 1066056353010 is 103536506601.

1066056353010 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 5 + 635 + 3 + 0 + 10 = 666.

1066056353010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10660563530102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179467797 + ... + 179473736.

It is an arithmetic number, because the mean of its divisors is an integer number (48457107090).

Almost surely, 21066056353010 is an apocalyptic number.

1066056353010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1066056353010 is an abundant number, since it is smaller than the sum of its proper divisors (2035198500750).

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

1066056353010 is a wasteful number, since it uses less digits than its factorization.

1066056353010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358941560 (or 358941554 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 1066056353010 in words is "one trillion, sixty-six billion, fifty-six million, three hundred fifty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 358941533 717883066 1076824599 1794707665 2153649198 3230473797 3589415330 3948356863 5384122995 6460947594 7896713726 9691421391 10768245990 11845070589 16152368985 19382842782 19741784315 23690141178 32304737970 35535211767 39483568630 48457106955 59225352945 71070423534 96914213910 106605635301 118450705890 177676058835 213211270602 355352117670 533028176505 1066056353010