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10123485768 = 23321127534643
BaseRepresentation
bin10010110110110100…
…00010001001001000
3222010112010100202100
421123122002021020
5131213103021033
64352313233400
7505604131524
oct113332021110
928115110670
1010123485768
114325497770
121b66402860
13c54464b86
146c0708d84
153e3b51513
hex25b682248

10123485768 has 96 divisors (see below), whose sum is σ = 29927607840. Its totient is φ = 3065948160.

The previous prime is 10123485761. The next prime is 10123485769. The reversal of 10123485768 is 86758432101.

10123485768 is a `hidden beast` number, since 10 + 1 + 23 + 48 + 576 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10123485761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2178055 + ... + 2182697.

It is an arithmetic number, because the mean of its divisors is an integer number (311745915).

Almost surely, 210123485768 is an apocalyptic number.

10123485768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10123485768 is an abundant number, since it is smaller than the sum of its proper divisors (19804122072).

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

10123485768 is a wasteful number, since it uses less digits than its factorization.

10123485768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10123485768 in words is "ten billion, one hundred twenty-three million, four hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2753 4643 5506 8259 9286 11012 13929 16518 18572 22024 24777 27858 30283 33036 37144 41787 49554 51073 55716 60566 66072 83574 90849 99108 102146 111432 121132 153219 167148 181698 198216 204292 242264 272547 306438 334296 363396 408584 459657 545094 612876 726792 919314 1090188 1225752 1838628 2180376 3677256 12782179 25564358 38346537 51128716 76693074 102257432 115039611 140603969 153386148 230079222 281207938 306772296 421811907 460158444 562415876 843623814 920316888 1124831752 1265435721 1687247628 2530871442 3374495256 5061742884 10123485768