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10660268808 = 2332722394849
BaseRepresentation
bin10011110110110011…
…01100101100001000
31000111221011202122200
421323121230230020
5133313012100213
64521450320200
7525112534620
oct117331545410
930457152580
1010660268808
114580497812
122096129060
13100b728487
14731b17880
15425d33273
hex27b66cb08

10660268808 has 96 divisors (see below), whose sum is σ = 33144384000. Its totient is φ = 3032100864.

The previous prime is 10660268807. The next prime is 10660268813. The reversal of 10660268808 is 80886206601.

10660268808 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 2×106602688082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10660268807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64968 + ... + 159816.

It is an arithmetic number, because the mean of its divisors is an integer number (345254000).

Almost surely, 210660268808 is an apocalyptic number.

10660268808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10660268808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572192000).

10660268808 is an abundant number, since it is smaller than the sum of its proper divisors (22484115192).

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

10660268808 is a wasteful number, since it uses less digits than its factorization.

10660268808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95091 (or 95084 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10660268808 in words is "ten billion, six hundred sixty million, two hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 2007 2676 3122 4014 4683 5352 6244 8028 9366 12488 14049 16056 18732 28098 37464 56196 94849 112392 189698 284547 379396 569094 663943 758792 853641 1138188 1327886 1707282 1991829 2276376 2655772 3414564 3983658 5311544 5975487 6829128 7967316 11950974 15934632 21151327 23901948 42302654 47803896 63453981 84605308 126907962 148059289 169210616 190361943 253815924 296118578 380723886 444177867 507631848 592237156 761447772 888355734 1184474312 1332533601 1522895544 1776711468 2665067202 3553422936 5330134404 10660268808