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19313669130 = 2357733114051
BaseRepresentation
bin10001111111001011…
…110011010000001010
31211212000002001021220
4101333023303100022
5304023244403010
612512250542510
71252416323160
oct217713632012
954760061256
1019313669130
118211076528
1238b0137a36
131a8a4431b2
14d130a9230
15780898970
hex47f2f340a

19313669130 has 128 divisors (see below), whose sum is σ = 53886283776. Its totient is φ = 4339008000.

The previous prime is 19313669099. The next prime is 19313669149. The reversal of 19313669130 is 3196631391.

It is a super-2 number, since 2×193136691302 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4765605 + ... + 4769655.

It is an arithmetic number, because the mean of its divisors is an integer number (420986592).

Almost surely, 219313669130 is an apocalyptic number.

19313669130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19313669130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26943141888).

19313669130 is an abundant number, since it is smaller than the sum of its proper divisors (34572614646).

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

19313669130 is a wasteful number, since it uses less digits than its factorization.

19313669130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452.

The product of its (nonzero) digits is 78732, while the sum is 42.

The spelling of 19313669130 in words is "nineteen billion, three hundred thirteen million, six hundred sixty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 311 365 438 511 622 730 933 1022 1095 1533 1555 1866 2177 2190 2555 3066 3110 4051 4354 4665 5110 6531 7665 8102 9330 10885 12153 13062 15330 20255 21770 22703 24306 28357 32655 40510 45406 56714 60765 65310 68109 85071 113515 121530 136218 141785 158921 170142 227030 283570 295723 317842 340545 425355 476763 591446 681090 794605 850710 887169 953526 1259861 1478615 1589210 1774338 2070061 2383815 2519722 2957230 3779583 4140122 4435845 4767630 6210183 6299305 7559166 8819027 8871690 10350305 12420366 12598610 17638054 18897915 20700610 26457081 31050915 37795830 44095135 52914162 62101830 88190270 91969853 132285405 183939706 264570810 275909559 459849265 551819118 643788971 919698530 1287577942 1379547795 1931366913 2759095590 3218944855 3862733826 6437889710 9656834565 19313669130