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19193369840 = 2451930741131
BaseRepresentation
bin10001111000000000…
…111001010011110000
31211112121201012200122
4101320000321103300
5303302000313330
612452312305412
71246425644321
oct217000712360
954477635618
1019193369840
11815a17a927
1238779a2268
131a6b542c98
14d01112448
157750345e5
hex4780394f0

19193369840 has 80 divisors (see below), whose sum is σ = 47127400320. Its totient is φ = 7249409280.

The previous prime is 19193369753. The next prime is 19193369851. The reversal of 19193369840 is 4896339191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446075 + ... + 487205.

It is an arithmetic number, because the mean of its divisors is an integer number (589092504).

Almost surely, 219193369840 is an apocalyptic number.

19193369840 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 19193369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23563700160).

19193369840 is an abundant number, since it is smaller than the sum of its proper divisors (27934030480).

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

19193369840 is a wasteful number, since it uses less digits than its factorization.

19193369840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41470 (or 41464 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 53.

The spelling of 19193369840 in words is "nineteen billion, one hundred ninety-three million, three hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 307 380 614 760 1228 1520 1535 2456 3070 4912 5833 6140 11666 12280 23332 24560 29165 41131 46664 58330 82262 93328 116660 164524 205655 233320 329048 411310 466640 658096 781489 822620 1562978 1645240 3125956 3290480 3907445 6251912 7814890 12503824 12627217 15629780 25254434 31259560 50508868 62519120 63136085 101017736 126272170 202035472 239917123 252544340 479834246 505088680 959668492 1010177360 1199585615 1919336984 2399171230 3838673968 4798342460 9596684920 19193369840