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10665661056 = 273112324733
BaseRepresentation
bin10011110111011100…
…10001001010000000
31000112022022201102120
421323232101022000
5133320402123211
64522202044240
7525206423511
oct117356211200
930468281376
1010665661056
114583540016
122097aa9680
13100c89595b
1473271ca08
1542654ad06
hex27bb91280

10665661056 has 64 divisors (see below), whose sum is σ = 28357036320. Its totient is φ = 3551910912.

The previous prime is 10665661051. The next prime is 10665661063. The reversal of 10665661056 is 65016656601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106656610562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10665660999 and 10665661017.

It is not an unprimeable number, because it can be changed into a prime (10665661051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418866 + ... + 443598.

Almost surely, 210665661056 is an apocalyptic number.

10665661056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10665661056 is an abundant number, since it is smaller than the sum of its proper divisors (17691375264).

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

10665661056 is a wasteful number, since it uses less digits than its factorization.

10665661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25873 (or 25861 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 10665661056 in words is "ten billion, six hundred sixty-five million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1123 2246 3369 4492 6738 8984 13476 17968 24733 26952 35936 49466 53904 71872 74199 98932 107808 143744 148398 197864 215616 296796 395728 431232 593592 791456 1187184 1582912 2374368 3165824 4748736 9497472 27775159 55550318 83325477 111100636 166650954 222201272 333301908 444402544 666603816 888805088 1333207632 1777610176 2666415264 3555220352 5332830528 10665661056