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5564365466240 = 27573973128579
BaseRepresentation
bin101000011111000111000…
…0001101110101010000000
3201200221121012022022021202
41100332032001232222000
51212131310024404430
615500122331040332
71113004110034160
oct120761601565200
921627535268252
105564365466240
11185591a274459
1275a4b28a00a8
13314943200729
141534611485a0
1599b1de6dd45
hex50f8e06ea80

5564365466240 has 128 divisors (see below), whose sum is σ = 15240940041600. Its totient is φ = 1902976339968.

The previous prime is 5564365466227. The next prime is 5564365466263. The reversal of 5564365466240 is 426645634655.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 214271 + ... + 3342849.

It is an arithmetic number, because the mean of its divisors is an integer number (119069844075).

Almost surely, 25564365466240 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 5564365466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620470020800).

5564365466240 is an abundant number, since it is smaller than the sum of its proper divisors (9676574575360).

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

5564365466240 is a wasteful number, since it uses less digits than its factorization.

5564365466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129002 (or 3128990 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 56.

The spelling of 5564365466240 in words is "five trillion, five hundred sixty-four billion, three hundred sixty-five million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 397 448 560 640 794 896 1120 1588 1985 2240 2779 3176 3970 4480 5558 6352 7940 11116 12704 13895 15880 22232 25408 27790 31760 44464 50816 55580 63520 88928 111160 127040 177856 222320 254080 355712 444640 889280 1778560 3128579 6257158 12514316 15642895 21900053 25028632 31285790 43800106 50057264 62571580 87600212 100114528 109500265 125143160 175200424 200229056 219000530 250286320 350400848 400458112 438001060 500572640 700801696 876002120 1001145280 1242045863 1401603392 1752004240 2002290560 2484091726 2803206784 3504008480 4968183452 6210229315 7008016960 8694321041 9936366904 12420458630 14016033920 17388642082 19872733808 24840917260 34777284164 39745467616 43471605205 49681834520 69554568328 79490935232 86943210410 99363669040 139109136656 158981870464 173886420820 198727338080 278218273312 347772841640 397454676160 556436546624 695545683280 794909352320 1112873093248 1391091366560 2782182733120 5564365466240