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5813009712 = 243414930103
BaseRepresentation
bin1010110100111101…
…10111110100110000
3120000010012111020000
411122132313310300
543401112302322
62400452550000
7264023524116
oct53236676460
916003174200
105813009712
112513324264
121162922300
13718418223
143d2055ab6
152404ed3ac
hex15a7b7d30

5813009712 has 100 divisors (see below), whose sum is σ = 16938015600. Its totient is φ = 1924601472.

The previous prime is 5813009687. The next prime is 5813009717. The reversal of 5813009712 is 2179003185.

5813009712 is a `hidden beast` number, since 581 + 3 + 0 + 0 + 9 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5813009717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 178053 + ... + 208155.

It is an arithmetic number, because the mean of its divisors is an integer number (169380156).

Almost surely, 25813009712 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 5813009712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469007800).

5813009712 is an abundant number, since it is smaller than the sum of its proper divisors (11125005888).

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

5813009712 is a wasteful number, since it uses less digits than its factorization.

5813009712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30272 (or 30257 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5813009712 is about 76243.0961595868. The cubic root of 5813009712 is about 1798.0441422255.

The spelling of 5813009712 in words is "five billion, eight hundred thirteen million, nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 298 324 432 447 596 648 894 1192 1296 1341 1788 2384 2682 3576 4023 5364 7152 8046 10728 12069 16092 21456 24138 30103 32184 48276 60206 64368 90309 96552 120412 180618 193104 240824 270927 361236 481648 541854 722472 812781 1083708 1444944 1625562 2167416 2438343 3251124 4334832 4485347 4876686 6502248 8970694 9753372 13004496 13456041 17941388 19506744 26912082 35882776 39013488 40368123 53824164 71765552 80736246 107648328 121104369 161472492 215296656 242208738 322944984 363313107 484417476 645889968 726626214 968834952 1453252428 1937669904 2906504856 5813009712