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19125244350 = 23252113457823
BaseRepresentation
bin10001110011111101…
…000001000110111110
31211100212112002002100
4101303331001012332
5303132030304400
612441440205530
71244640615612
oct216375010676
954325462070
1019125244350
11812477a173
1238590098a6
131a5a3ac744
14cd605b342
1576e079100
hex473f411be

19125244350 has 144 divisors (see below), whose sum is σ = 52014429792. Its totient is φ = 5037742080.

The previous prime is 19125244339. The next prime is 19125244361. The reversal of 19125244350 is 5344252191.

19125244350 is a `hidden beast` number, since 1 + 91 + 2 + 524 + 43 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19125244339) and next prime (19125244361).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23238039 + ... + 23238861.

It is an arithmetic number, because the mean of its divisors is an integer number (361211318).

Almost surely, 219125244350 is an apocalyptic number.

19125244350 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 19125244350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26007214896).

19125244350 is an abundant number, since it is smaller than the sum of its proper divisors (32889185442).

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

19125244350 is a wasteful number, since it uses less digits than its factorization.

19125244350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 19125244350 in words is "nineteen billion, one hundred twenty-five million, two hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 450 457 565 678 823 914 1017 1130 1371 1646 1695 2034 2285 2469 2742 2825 3390 4113 4115 4570 4938 5085 5650 6855 7407 8226 8230 8475 10170 11425 12345 13710 14814 16950 20565 20575 22850 24690 25425 34275 37035 41130 41150 50850 51641 61725 68550 74070 92999 102825 103282 123450 154923 185175 185998 205650 258205 278997 309846 370350 376111 464769 464995 516410 557994 752222 774615 836991 929538 929990 1128333 1291025 1394985 1549230 1673982 1880555 2256666 2323845 2324975 2582050 2789970 3384999 3761110 3873075 4184955 4647690 4649950 5641665 6769998 6974925 7746150 8369910 9402775 11283330 11619225 13949850 16924995 18805550 20924775 23238450 28208325 33849990 41849550 42500543 56416650 84624975 85001086 127501629 169249950 212502715 255003258 382504887 425005430 637508145 765009774 1062513575 1275016290 1912524435 2125027150 3187540725 3825048870 6375081450 9562622175 19125244350