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19309742640 = 24325193138959
BaseRepresentation
bin10001111110111100…
…110100101000110000
31211211201200120011100
4101332330310220300
5304021243231030
612512030444400
71252341050526
oct217674645060
954751616140
1019309742640
1182099344a1
1238aa963700
131a89699c26
14d12766316
15780370360
hex47ef34a30

19309742640 has 120 divisors (see below), whose sum is σ = 65185024320. Its totient is φ = 5122547712.

The previous prime is 19309742633. The next prime is 19309742657. The reversal of 19309742640 is 4624790391.

It is a happy number.

19309742640 is a `hidden beast` number, since 19 + 309 + 74 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69481 + ... + 208439.

It is an arithmetic number, because the mean of its divisors is an integer number (543208536).

Almost surely, 219309742640 is an apocalyptic number.

19309742640 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 138959×138960.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19309742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32592512160).

19309742640 is an abundant number, since it is smaller than the sum of its proper divisors (45875281680).

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

19309742640 is a wasteful number, since it uses less digits than its factorization.

19309742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139171 (or 139162 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 19309742640 in words is "nineteen billion, three hundred nine million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 193 240 360 386 579 720 772 965 1158 1544 1737 1930 2316 2895 3088 3474 3860 4632 5790 6948 7720 8685 9264 11580 13896 15440 17370 23160 27792 34740 46320 69480 138959 138960 277918 416877 555836 694795 833754 1111672 1250631 1389590 1667508 2084385 2223344 2501262 2779180 3335016 4168770 5002524 5558360 6253155 6670032 8337540 10005048 11116720 12506310 16675080 20010096 25012620 26819087 33350160 50025240 53638174 80457261 100050480 107276348 134095435 160914522 214552696 241371783 268190870 321829044 402286305 429105392 482743566 536381740 643658088 804572610 965487132 1072763480 1206858915 1287316176 1609145220 1930974264 2145526960 2413717830 3218290440 3861948528 4827435660 6436580880 9654871320 19309742640