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10093106964 = 22319373118681
BaseRepresentation
bin10010110011001100…
…01001011100010100
3222001101221221212110
421121212021130110
5131132313410324
64345310151020
7505054664553
oct113146113424
928041857773
1010093106964
11430a328716
121b581b2470
13c4b089655
146ba67bd9a
153e1150329
hex259989714

10093106964 has 48 divisors (see below), whose sum is σ = 24856758080. Its totient is φ = 3178725120.

The previous prime is 10093106939. The next prime is 10093107001. The reversal of 10093106964 is 46960139001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25704 + ... + 144384.

Almost surely, 210093106964 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 10093106964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428379040).

10093106964 is an abundant number, since it is smaller than the sum of its proper divisors (14763651116).

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

10093106964 is a wasteful number, since it uses less digits than its factorization.

10093106964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119080 (or 119078 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 10093106964 in words is "ten billion, ninety-three million, one hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 373 746 1119 1492 2238 4476 7087 14174 21261 28348 42522 85044 118681 237362 356043 474724 712086 1424172 2254939 4509878 6764817 9019756 13529634 27059268 44268013 88536026 132804039 177072052 265608078 531216156 841092247 1682184494 2523276741 3364368988 5046553482 10093106964