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5517448704 = 29332571553
BaseRepresentation
bin1010010001101110…
…11001011000000000
3112020112001102202000
411020313121120000
542244431324304
62311254024000
7253504353165
oct51067313000
915215042660
105517448704
112381501969
12109b948000
1369c112a61
143a4aba06c
152245b9939
hex148dd9600

5517448704 has 160 divisors (see below), whose sum is σ = 16406137440. Its totient is φ = 1830813696.

The previous prime is 5517448669. The next prime is 5517448763. The reversal of 5517448704 is 4078447155.

It is a self number, because there is not a number n which added to its sum of digits gives 5517448704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3551992 + ... + 3553544.

It is an arithmetic number, because the mean of its divisors is an integer number (102538359).

Almost surely, 25517448704 is an apocalyptic number.

5517448704 is a gapful number since it is divisible by the number (54) 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 5517448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203068720).

5517448704 is an abundant number, since it is smaller than the sum of its proper divisors (10888688736).

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

5517448704 is a wasteful number, since it uses less digits than its factorization.

5517448704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The square root of 5517448704 is about 74279.5308547382. The cubic root of 5517448704 is about 1767.0388639012.

The spelling of 5517448704 in words is "five billion, five hundred seventeen million, four hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 257 288 384 432 512 514 576 768 771 864 1028 1152 1536 1542 1553 1728 2056 2304 2313 3084 3106 3456 4112 4608 4626 4659 6168 6212 6912 6939 8224 9252 9318 12336 12424 13824 13878 13977 16448 18504 18636 24672 24848 27756 27954 32896 37008 37272 41931 49344 49696 55512 55908 65792 74016 74544 83862 98688 99392 111024 111816 131584 148032 149088 167724 197376 198784 222048 223632 296064 298176 335448 394752 397568 399121 444096 447264 592128 596352 670896 795136 798242 888192 894528 1184256 1192704 1197363 1341792 1596484 1776384 1789056 2385408 2394726 2683584 3192968 3552768 3578112 3592089 4789452 5367168 6385936 7156224 7184178 9578904 10734336 10776267 12771872 14368356 19157808 21468672 21552534 25543744 28736712 38315616 43105068 51087488 57473424 76631232 86210136 102174976 114946848 153262464 172420272 204349952 229893696 306524928 344840544 459787392 613049856 689681088 919574784 1379362176 1839149568 2758724352 5517448704