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10266268880 = 245719793059
BaseRepresentation
bin10011000111110101…
…01101010011010000
3222111110210111100202
421203322231103100
5132011131101010
64414413434332
7512256563030
oct114372552320
928443714322
1010266268880
11439904a83a
121ba619b9a8
13c77c07c1a
146d56758c0
154014576a5
hex263ead4d0

10266268880 has 80 divisors (see below), whose sum is σ = 27417709440. Its totient is φ = 3501958656.

The previous prime is 10266268871. The next prime is 10266268889. The reversal of 10266268880 is 8886266201.

10266268880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10266268871) and next prime (10266268889).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266268889) 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 15 ways as a sum of consecutive naturals, for example, 63791 + ... + 156849.

It is an arithmetic number, because the mean of its divisors is an integer number (342721368).

Almost surely, 210266268880 is an apocalyptic number.

10266268880 is a gapful number since it is divisible by the number (10) 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 10266268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708854720).

10266268880 is an abundant number, since it is smaller than the sum of its proper divisors (17151440560).

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

10266268880 is a wasteful number, since it uses less digits than its factorization.

10266268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93276 (or 93270 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 10266268880 in words is "ten billion, two hundred sixty-six million, two hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1379 1576 1970 2758 3152 3940 5516 6895 7880 11032 13790 15760 22064 27580 55160 93059 110320 186118 372236 465295 651413 744472 930590 1302826 1488944 1861180 2605652 3257065 3722360 5211304 6514130 7444720 10422608 13028260 18332623 26056520 36665246 52113040 73330492 91663115 128328361 146660984 183326230 256656722 293321968 366652460 513313444 641641805 733304920 1026626888 1283283610 1466609840 2053253776 2566567220 5133134440 10266268880