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5500976256 = 273247101599
BaseRepresentation
bin1010001111110001…
…00011110010000000
3112012101001112210100
411013320203302000
542231222220011
62305505002400
7253214345436
oct50770436200
915171045710
105500976256
112373180976
121096323400
13698896149
143a282cd56
15222e13d56
hex147e23c80

5500976256 has 96 divisors (see below), whose sum is σ = 16166592000. Its totient is φ = 1794627072.

The previous prime is 5500976231. The next prime is 5500976267. The reversal of 5500976256 is 6526790055.

5500976256 is a `hidden beast` number, since 5 + 500 + 97 + 6 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3345 + ... + 104943.

It is an arithmetic number, because the mean of its divisors is an integer number (168402000).

Almost surely, 25500976256 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 5500976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083296000).

5500976256 is an abundant number, since it is smaller than the sum of its proper divisors (10665615744).

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

5500976256 is a wasteful number, since it uses less digits than its factorization.

5500976256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101666 (or 101651 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5500976256 is about 74168.5664955175. The cubic root of 5500976256 is about 1765.2786015977.

The spelling of 5500976256 in words is "five billion, five hundred million, nine hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 3008 3384 4512 6016 6768 9024 13536 18048 27072 54144 101599 203198 304797 406396 609594 812792 914391 1219188 1625584 1828782 2438376 3251168 3657564 4775153 4876752 6502336 7315128 9550306 9753504 13004672 14325459 14630256 19100612 19507008 28650918 29260512 38201224 39014016 42976377 57301836 58521024 76402448 85952754 114603672 117042048 152804896 171905508 229207344 305609792 343811016 458414688 611219584 687622032 916829376 1375244064 1833658752 2750488128 5500976256