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10091418636 = 223132310127847
BaseRepresentation
bin10010110010111111…
…01101010000001100
3222001021210011220210
421121133231100030
5131131400344021
64345210042420
7505034433405
oct113137552014
928037704823
1010091418636
114309385202
121b57719410
13c4a918040
146ba35c9ac
153e0e19e76
hex2597ed40c

10091418636 has 96 divisors (see below), whose sum is σ = 26723386368. Its totient is φ = 2940537600.

The previous prime is 10091418607. The next prime is 10091418641. The reversal of 10091418636 is 63681419001.

10091418636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 10091418594 and 10091418603.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 348465 + ... + 376311.

It is an arithmetic number, because the mean of its divisors is an integer number (278368608).

Almost surely, 210091418636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091418636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361693184).

10091418636 is an abundant number, since it is smaller than the sum of its proper divisors (16631967732).

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

10091418636 is a wasteful number, since it uses less digits than its factorization.

10091418636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27991 (or 27989 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10091418636 in words is "ten billion, ninety-one million, four hundred eighteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 101 138 156 202 276 299 303 404 598 606 897 1196 1212 1313 1794 2323 2626 3588 3939 4646 5252 6969 7878 9292 13938 15756 27847 27876 30199 55694 60398 83541 90597 111388 120796 167082 181194 334164 362011 362388 640481 724022 1086033 1280962 1448044 1921443 2172066 2561924 2812547 3842886 4344132 5625094 7685772 8326253 8437641 11250188 16652506 16875282 24978759 33305012 33750564 36563111 49957518 64688581 73126222 99915036 109689333 129377162 146252444 194065743 219378666 258754324 388131486 438757332 776262972 840951553 1681903106 2522854659 3363806212 5045709318 10091418636