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16315891900 = 225271119310979
BaseRepresentation
bin11110011001000000…
…01100000010111100
31120010002020012000121
433030200030002330
5231403332020100
611255002104324
71115215535650
oct171440140274
946102205017
1016315891900
116a12994090
1231b41ab0a4
131700359609
14b0acc0a60
156575e351a
hex3cc80c0bc

16315891900 has 144 divisors (see below), whose sum is σ = 44374659840. Its totient is φ = 5058662400.

The previous prime is 16315891849. The next prime is 16315891909. The reversal of 16315891900 is 919851361.

It is a super-2 number, since 2×163158919002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16315891909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480611 + ... + 1491589.

It is an arithmetic number, because the mean of its divisors is an integer number (308157360).

Almost surely, 216315891900 is an apocalyptic number.

16315891900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16315891900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187329920).

16315891900 is an abundant number, since it is smaller than the sum of its proper divisors (28058767940).

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

16315891900 is a wasteful number, since it uses less digits than its factorization.

16315891900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The spelling of 16315891900 in words is "sixteen billion, three hundred fifteen million, eight hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 193 220 275 308 350 385 386 550 700 770 772 965 1100 1351 1540 1925 1930 2123 2702 3850 3860 4246 4825 5404 6755 7700 8492 9650 10615 10979 13510 14861 19300 21230 21958 27020 29722 33775 42460 43916 53075 54895 59444 67550 74305 76853 106150 109790 120769 135100 148610 153706 212300 219580 241538 274475 297220 307412 371525 384265 483076 548950 603845 743050 768530 845383 1097900 1207690 1486100 1537060 1690766 1921325 2118947 2415380 3019225 3381532 3842650 4226915 4237894 6038450 7685300 8453830 8475788 10594735 12076900 14832629 16907660 21134575 21189470 23308417 29665258 42269150 42378940 46616834 52973675 59330516 74163145 84538300 93233668 105947350 116542085 148326290 163158919 211894700 233084170 296652580 326317838 370815725 466168340 582710425 652635676 741631450 815794595 1165420850 1483262900 1631589190 2330841700 3263178380 4078972975 8157945950 16315891900