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19309468240 = 24537411071487
BaseRepresentation
bin10001111110111011…
…110001101001010000
31211211201011121202101
4101332323301221100
5304021210440430
612512020530144
71252335525526
oct217673615120
954751147671
1019309468240
118209767317
1238aa850954
131a8960206a
14d126d4316
15780318dca
hex47eef1a50

19309468240 has 160 divisors (see below), whose sum is σ = 47705946624. Its totient is φ = 7258337280.

The previous prime is 19309468229. The next prime is 19309468249. The reversal of 19309468240 is 4286490391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19309468249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12984777 + ... + 12986263.

Almost surely, 219309468240 is an apocalyptic number.

19309468240 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 19309468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852973312).

19309468240 is an abundant number, since it is smaller than the sum of its proper divisors (28396478384).

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

19309468240 is a wasteful number, since it uses less digits than its factorization.

19309468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 19309468240 in words is "nineteen billion, three hundred nine million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 107 148 164 185 205 214 296 328 370 410 428 535 592 656 740 820 856 1070 1480 1487 1517 1640 1712 2140 2960 2974 3034 3280 3959 4280 4387 5948 6068 7435 7585 7918 8560 8774 11896 12136 14870 15170 15836 17548 19795 21935 23792 24272 29740 30340 31672 35096 39590 43870 55019 59480 60680 60967 63344 70192 79180 87740 110038 118960 121360 121934 158360 159109 162319 175480 220076 243868 275095 304835 316720 318218 324638 350960 440152 487736 550190 609670 636436 649276 795545 811595 880304 975472 1100380 1219340 1272872 1298552 1591090 1623190 2200760 2255779 2438680 2545744 2597104 3182180 3246380 4401520 4511558 4877360 5887033 6364360 6492760 6523469 9023116 11278895 11774066 12728720 12985520 13046938 18046232 22557790 23548132 26093876 29435165 32617345 36092464 45115580 47096264 52187752 58870330 65234690 90231160 94192528 104375504 117740660 130469380 180462320 235481320 241368353 260938760 470962640 482736706 521877520 965473412 1206841765 1930946824 2413683530 3861893648 4827367060 9654734120 19309468240