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5582845312 = 27115379947
BaseRepresentation
bin1010011001100001…
…10111010110000000
3112102002002221000121
411030300313112000
542413202022222
62321551430024
7255230254642
oct51460672600
915362087017
105582845312
112405409350
1210b9825314
136ac82c185
143ad660892
1522a1d65c7
hex14cc37580

5582845312 has 128 divisors (see below), whose sum is σ = 12531801600. Its totient is φ = 2455664640.

The previous prime is 5582845291. The next prime is 5582845313. The reversal of 5582845312 is 2135482855.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5582845313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5894823 + ... + 5895769.

It is an arithmetic number, because the mean of its divisors is an integer number (97904700).

Almost surely, 25582845312 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 5582845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265900800).

5582845312 is an abundant number, since it is smaller than the sum of its proper divisors (6948956288).

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

5582845312 is a wasteful number, since it uses less digits than its factorization.

5582845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its digits is 384000, while the sum is 43.

The square root of 5582845312 is about 74718.4402406795. The cubic root of 5582845312 is about 1773.9928492065.

The spelling of 5582845312 in words is "five billion, five hundred eighty-two million, eight hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 79 88 106 128 158 176 212 316 352 424 583 632 704 848 869 947 1166 1264 1408 1696 1738 1894 2332 2528 3392 3476 3788 4187 4664 5056 6784 6952 7576 8374 9328 10112 10417 13904 15152 16748 18656 20834 27808 30304 33496 37312 41668 46057 50191 55616 60608 66992 74624 74813 83336 92114 100382 111232 121216 133984 149626 166672 184228 200764 267968 299252 333344 368456 401528 535936 552101 598504 666688 736912 803056 822943 1104202 1197008 1333376 1473824 1606112 1645886 2208404 2394016 2947648 3212224 3291772 3965089 4416808 4788032 5895296 6424448 6583544 7930178 8833616 9576064 13167088 15860356 17667232 26334176 31720712 35334464 43615979 52668352 63441424 70668928 87231958 105336704 126882848 174463916 253765696 348927832 507531392 697855664 1395711328 2791422656 5582845312