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10309264938 = 23274263907
BaseRepresentation
bin10011001100111101…
…01110011000101010
3222121110200220212100
421212132232120222
5132103132434223
64422551154230
7513321210000
oct114636563052
928543626770
1010309264938
114410347375
121bb8675976
13c83ab038b
146db268a70
154050ec043
hex2667ae62a

10309264938 has 120 divisors (see below), whose sum is σ = 26185899168. Its totient is φ = 2931069456.

The previous prime is 10309264937. The next prime is 10309264957. The reversal of 10309264938 is 83946290301.

It is a happy number.

It is a super-2 number, since 2×103092649382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10309264893 and 10309264902.

It is not an unprimeable number, because it can be changed into a prime (10309264937) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11365881 + ... + 11366787.

Almost surely, 210309264938 is an apocalyptic number.

10309264938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10309264938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092949584).

10309264938 is an abundant number, since it is smaller than the sum of its proper divisors (15876634230).

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

10309264938 is an equidigital number, since it uses as much as digits as its factorization.

10309264938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10309264938 in words is "ten billion, three hundred nine million, two hundred sixty-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 263 294 343 441 526 686 789 882 907 1029 1578 1814 1841 2058 2367 2401 2721 3087 3682 4734 4802 5442 5523 6174 6349 7203 8163 11046 12698 12887 14406 16326 16569 19047 21609 25774 33138 38094 38661 43218 44443 57141 77322 88886 90209 114282 115983 133329 180418 231966 238541 266658 270627 311101 399987 477082 541254 622202 631463 715623 799974 811881 933303 1262926 1431246 1623762 1669787 1866606 1894389 2146869 2177707 2799909 3339574 3788778 4293738 4355414 5009361 5599818 5683167 6533121 10018722 11366334 11688509 13066242 15028083 19599363 23377018 30056166 35065527 39198726 70131054 81819563 105196581 163639126 210393162 245458689 490917378 572736941 736376067 1145473882 1472752134 1718210823 3436421646 5154632469 10309264938