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19313985800 = 23523123172
BaseRepresentation
bin10001111111001101…
…000000100100001000
31211212000200010200102
4101333031000210020
5304023340021200
612512301424532
71252422112334
oct217715004410
954760603612
1019313985800
11821127243a
1238b026b148
131a8a524385
14d1314c7c4
1578090c6d5
hex47f340908

19313985800 has 108 divisors (see below), whose sum is σ = 46547128215. Its totient is φ = 7452796800.

The previous prime is 19313985797. The next prime is 19313985809. The reversal of 19313985800 is 858931391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 181010116 + 19132975684 = 13454^2 + 138322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=98270.

It is not an unprimeable number, because it can be changed into a prime (19313985809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60927242 + ... + 60927558.

Almost surely, 219313985800 is an apocalyptic number.

19313985800 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 19313985800

19313985800 is an abundant number, since it is smaller than the sum of its proper divisors (27233142415).

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

19313985800 is an equidigital number, since it uses as much as digits as its factorization.

19313985800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 19313985800 in words is "nineteen billion, three hundred thirteen million, nine hundred eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 317 620 634 775 961 1240 1268 1550 1585 1922 2536 3100 3170 3844 4805 6200 6340 7688 7925 9610 9827 12680 15850 19220 19654 24025 31700 38440 39308 48050 49135 63400 78616 96100 98270 100489 192200 196540 200978 245675 304637 393080 401956 491350 502445 609274 803912 982700 1004890 1218548 1523185 1965400 2009780 2437096 2512225 3046370 3115159 4019560 5024450 6092740 6230318 7615925 10048900 12185480 12460636 15231850 15575795 20097800 24921272 30463700 31151590 60927400 62303180 77878975 96569929 124606360 155757950 193139858 311515900 386279716 482849645 623031800 772559432 965699290 1931398580 2414248225 3862797160 4828496450 9656992900 19313985800