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10223790672 = 243212995639
BaseRepresentation
bin10011000010110001…
…01010101001010000
3222101111212101012210
421201120222221100
5131414242300142
64410255152120
7511232533614
oct114130525120
928344771183
1010223790672
114377077287
121b93b15640
13c6c1843a4
146cdb79344
153ec86649c
hex26162aa50

10223790672 has 20 divisors (see below), whose sum is σ = 26411459360. Its totient is φ = 3407930208.

The previous prime is 10223790653. The next prime is 10223790677. The reversal of 10223790672 is 27609732201.

It is a super-3 number, since 3×102237906723 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10223790672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223790677) 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 3 ways as a sum of consecutive naturals, for example, 106497772 + ... + 106497867.

It is an arithmetic number, because the mean of its divisors is an integer number (1320572968).

Almost surely, 210223790672 is an apocalyptic number.

10223790672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223790672 is an abundant number, since it is smaller than the sum of its proper divisors (16187668688).

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

10223790672 is a wasteful number, since it uses less digits than its factorization.

10223790672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212995650 (or 212995644 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10223790672 in words is "ten billion, two hundred twenty-three million, seven hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 212995639 425991278 638986917 851982556 1277973834 1703965112 2555947668 3407930224 5111895336 10223790672