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5584245668240 = 2453171123125763
BaseRepresentation
bin101000101000010111011…
…1110101011100110010000
3201202211220200102012120112
41101100232332223212100
51212443013342340430
615513211140500452
71114306546000601
oct121205676534620
921684820365515
105584245668240
1118632a110a468
127623206aa728
13316790b22375
141543c9567da8
159a3d4424195
hex5142efab990

5584245668240 has 160 divisors (see below), whose sum is σ = 13602521382912. Its totient is φ = 2129383872000.

The previous prime is 5584245668191. The next prime is 5584245668251. The reversal of 5584245668240 is 428665424855.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5584245668240.

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, 216741599 + ... + 216767361.

Almost surely, 25584245668240 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 5584245668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801260691456).

5584245668240 is an abundant number, since it is smaller than the sum of its proper divisors (8018275714672).

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

5584245668240 is a wasteful number, since it uses less digits than its factorization.

5584245668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109 (or 27103 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 59.

The spelling of 5584245668240 in words is "five trillion, five hundred eighty-four billion, two hundred forty-five million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1231 1240 1420 2201 2462 2480 2840 4402 4924 5680 6155 8804 9848 11005 12310 17608 19696 22010 24620 25763 35216 38161 44020 49240 51526 76322 87401 88040 98480 103052 128815 152644 174802 176080 190805 206104 257630 305288 349604 381610 412208 437005 515260 610576 699208 763220 798653 874010 1030520 1398416 1526440 1597306 1748020 1829173 2061040 2709431 3052880 3194612 3496040 3658346 3993265 5418862 6389224 6992080 7316692 7986530 9145865 10837724 12778448 13547155 14633384 15973060 18291730 21675448 27094310 29266768 31714253 31946120 36583460 43350896 54188620 56704363 63428506 63892240 73166920 108377240 113408726 126857012 146333840 158571265 216754480 226817452 253714024 283521815 317142530 453634904 507428048 567043630 634285060 907269808 983141843 1134087260 1268570120 1966283686 2251711963 2268174520 2537140240 3932567372 4503423926 4536349040 4915709215 7865134744 9006847852 9831418430 11258559815 15730269488 18013695704 19662836860 22517119630 36027391408 39325673720 45034239260 69803070853 78651347440 90068478520 139606141706 180136957040 279212283412 349015354265 558424566824 698030708530 1116849133648 1396061417060 2792122834120 5584245668240