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10681175040 = 21035695389
BaseRepresentation
bin10011111001010010…
…11100110000000000
31000120101111220121120
421330221130300000
5133333340100130
64523514352240
7525455330004
oct117451346000
930511456546
1010681175040
114591276998
1220a112b680
131012b68223
147347da704
15427ab2910
hex27ca5cc00

10681175040 has 88 divisors (see below), whose sum is σ = 34163119920. Its totient is φ = 2848309248.

The previous prime is 10681175009. The next prime is 10681175081. The reversal of 10681175040 is 4057118601.

It is a happy number.

It is a super-2 number, since 2×106811750402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10681174992 and 10681175010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332335 + ... + 363054.

Almost surely, 210681175040 is an apocalyptic number.

10681175040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681175040 is an abundant number, since it is smaller than the sum of its proper divisors (23481944880).

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

10681175040 is an equidigital number, since it uses as much as digits as its factorization.

10681175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695417 (or 695399 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10681175040 in words is "ten billion, six hundred eighty-one million, one hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 695389 1390778 2086167 2781556 3476945 4172334 5563112 6953890 8344668 10430835 11126224 13907780 16689336 20861670 22252448 27815560 33378672 41723340 44504896 55631120 66757344 83446680 89009792 111262240 133514688 166893360 178019584 222524480 267029376 333786720 356039168 445048960 534058752 667573440 712078336 890097920 1068117504 1335146880 1780195840 2136235008 2670293760 3560391680 5340587520 10681175040