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13098916950 = 23527109114451
BaseRepresentation
bin11000011001100000…
…11001110001010110
31020210212220221000020
430030300121301112
5203311310320300
610003443130010
7642413646150
oct141460316126
936725827006
1013098916950
115611aa71a9
122656973906
131309a26542
148c3957ad0
15519e908a0
hex30cc19c56

13098916950 has 96 divisors (see below), whose sum is σ = 37467006720. Its totient is φ = 2966544000.

The previous prime is 13098916949. The next prime is 13098917009. The reversal of 13098916950 is 5961989031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13098916893 and 13098916902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57225 + ... + 171675.

It is an arithmetic number, because the mean of its divisors is an integer number (390281320).

Almost surely, 213098916950 is an apocalyptic number.

13098916950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 114450×114451.

It is a practical number, because each smaller number is the sum of distinct divisors of 13098916950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733503360).

13098916950 is an abundant number, since it is smaller than the sum of its proper divisors (24368089770).

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

13098916950 is a wasteful number, since it uses less digits than its factorization.

13098916950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114582 (or 114577 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 13098916950 in words is "thirteen billion, ninety-eight million, nine hundred sixteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 109 150 175 210 218 327 350 525 545 654 763 1050 1090 1526 1635 2289 2725 3270 3815 4578 5450 7630 8175 11445 16350 19075 22890 38150 57225 114450 114451 228902 343353 572255 686706 801157 1144510 1602314 1716765 2403471 2861275 3433530 4005785 4806942 5722550 8011570 8583825 12017355 12475159 17167650 20028925 24034710 24950318 37425477 40057850 60086775 62375795 74850954 87326113 120173550 124751590 174652226 187127385 261978339 311878975 374254770 436630565 523956678 623757950 873261130 935636925 1309891695 1871273850 2183152825 2619783390 4366305650 6549458475 13098916950