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45236846720 = 2751331175391
BaseRepresentation
bin101010001000010100…
…111000000010000000
311022202122002220200102
4222020110320002000
51220121113043340
632440450341532
73161003565332
oct521024700200
9138678086612
1045236846720
111820402553a
12892588a8a8
13435bcc9930
142291cc3452
15129b625215
hexa88538080

45236846720 has 128 divisors (see below), whose sum is σ = 120220692480. Its totient is φ = 16163942400.

The previous prime is 45236846693. The next prime is 45236846741. The reversal of 45236846720 is 2764863254.

It is a tau number, because it is divible by the number of its divisors (128).

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, 170225 + ... + 345615.

It is an arithmetic number, because the mean of its divisors is an integer number (939224160).

Almost surely, 245236846720 is an apocalyptic number.

45236846720 is a gapful number since it is divisible by the number (40) 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 45236846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60110346240).

45236846720 is an abundant number, since it is smaller than the sum of its proper divisors (74983845760).

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

45236846720 is a wasteful number, since it uses less digits than its factorization.

45236846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175454 (or 175442 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 45236846720 in words is "forty-five billion, two hundred thirty-six million, eight hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 260 310 320 403 416 496 520 620 640 806 832 992 1040 1240 1612 1664 1984 2015 2080 2480 3224 3968 4030 4160 4960 6448 8060 8320 9920 12896 16120 19840 25792 32240 51584 64480 128960 175391 257920 350782 701564 876955 1403128 1753910 2280083 2806256 3507820 4560166 5437121 5612512 7015640 9120332 10874242 11225024 11400415 14031280 18240664 21748484 22450048 22800830 27185605 28062560 36481328 43496968 45601660 54371210 56125120 70682573 72962656 86993936 91203320 108742420 112250240 141365146 145925312 173987872 182406640 217484840 282730292 291850624 347975744 353412865 364813280 434969680 565460584 695951488 706825730 729626560 869939360 1130921168 1413651460 1459253120 1739878720 2261842336 2827302920 3479757440 4523684672 5654605840 9047369344 11309211680 22618423360 45236846720