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5409853219344 = 2437293371647473
BaseRepresentation
bin100111010111001010001…
…1000010010001000010000
3201011011202222020220022210
41032232110120102020100
51202113334411004334
615301130253232120
71065564130434150
oct116562430221020
921134688226283
105409853219344
1117a6340120442
12734570a92640
133031bab7a2c2
14149ba43c0760
1595ac91825e9
hex4eb94612210

5409853219344 has 160 divisors (see below), whose sum is σ = 16571743269120. Its totient is φ = 1487943991296.

The previous prime is 5409853219307. The next prime is 5409853219417. The reversal of 5409853219344 is 4439123589045.

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, 2459992 + ... + 4107464.

It is an arithmetic number, because the mean of its divisors is an integer number (103573395432).

Almost surely, 25409853219344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409853219344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285871634560).

5409853219344 is an abundant number, since it is smaller than the sum of its proper divisors (11161890049776).

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

5409853219344 is a wasteful number, since it uses less digits than its factorization.

5409853219344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647857 (or 1647851 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 5409853219344 in words is "five trillion, four hundred nine billion, eight hundred fifty-three million, two hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 337 348 406 464 609 674 696 812 1011 1218 1348 1392 1624 2022 2359 2436 2696 3248 4044 4718 4872 5392 7077 8088 9436 9744 9773 14154 16176 18872 19546 28308 29319 37744 39092 56616 58638 68411 78184 113232 117276 136822 156368 205233 234552 273644 410466 469104 547288 820932 1094576 1641864 1647473 3283728 3294946 4942419 6589892 9884838 11532311 13179784 19769676 23064622 26359568 34596933 39539352 46129244 47776717 69193866 79078704 92258488 95553434 138387732 143330151 184516976 191106868 276775464 286660302 334437019 382213736 553550928 555198401 573320604 668874038 764427472 1003311057 1110396802 1146641208 1337748076 1665595203 2006622114 2220793604 2293282416 2675496152 3331190406 3886388807 4013244228 4441587208 5350992304 6662380812 7772777614 8026488456 8883174416 11659166421 13324761624 15545555228 16052976912 16100753629 23318332842 26649523248 31091110456 32201507258 46636665684 48302260887 62182220912 64403014516 93273331368 96604521774 112705275403 128806029032 186546662736 193209043548 225410550806 257612058064 338115826209 386418087096 450821101612 676231652418 772836174192 901642203224 1352463304836 1803284406448 2704926609672 5409853219344