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19457705040 = 24353711319391
BaseRepresentation
bin10010000111110001…
…010000010001010000
31212020001002211102020
4102013301100101100
5304322133030130
612534434051440
71256115523014
oct220761202120
955201084366
1019457705040
118285404874
123930419b80
131ab1234547
14d28280544
1578d34ae10
hex487c50450

19457705040 has 160 divisors (see below), whose sum is σ = 62500571136. Its totient is φ = 5003550720.

The previous prime is 19457705027. The next prime is 19457705053. The reversal of 19457705040 is 4050775491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19457705027) and next prime (19457705053).

It is a junction number, because it is equal to n+sod(n) for n = 19457704983 and 19457705001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993745 + ... + 1013135.

Almost surely, 219457705040 is an apocalyptic number.

19457705040 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 19457705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31250285568).

19457705040 is an abundant number, since it is smaller than the sum of its proper divisors (43042866096).

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

19457705040 is a wasteful number, since it uses less digits than its factorization.

19457705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19557 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 19457705040 in words is "nineteen billion, four hundred fifty-seven million, seven hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 113 120 148 185 222 226 240 296 339 370 444 452 555 565 592 678 740 888 904 1110 1130 1356 1480 1695 1776 1808 2220 2260 2712 2960 3390 4181 4440 4520 5424 6780 8362 8880 9040 12543 13560 16724 19391 20905 25086 27120 33448 38782 41810 50172 58173 62715 66896 77564 83620 96955 100344 116346 125430 155128 167240 193910 200688 232692 250860 290865 310256 334480 387820 465384 501720 581730 717467 775640 930768 1003440 1163460 1434934 1551280 2152401 2191183 2326920 2869868 3587335 4304802 4382366 4653840 5739736 6573549 7174670 8609604 8764732 10762005 10955915 11479472 13147098 14349340 17219208 17529464 21524010 21911830 26294196 28698680 32867745 34438416 35058928 43048020 43823660 52588392 57397360 65735490 81073771 86096040 87647320 105176784 131470980 162147542 172192080 175294640 243221313 262941960 324295084 405368855 486442626 525883920 648590168 810737710 972885252 1216106565 1297180336 1621475420 1945770504 2432213130 3242950840 3891541008 4864426260 6485901680 9728852520 19457705040