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5131455066 = 23217231275741
BaseRepresentation
bin1001100011101101…
…11100101001011010
3111020121201221000100
410301312330221122
541002123030231
62205104520230
7241106435253
oct46166745132
914217657010
105131455066
1121a3633161
12bb2620076
1363a16675a
1436971db2a
152007711e6
hex131dbca5a

5131455066 has 96 divisors (see below), whose sum is σ = 12382875648. Its totient is φ = 1527482880.

The previous prime is 5131455061. The next prime is 5131455067. The reversal of 5131455066 is 6605541315.

5131455066 is a `hidden beast` number, since 5 + 1 + 3 + 145 + 506 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5131455066.

It is not an unprimeable number, because it can be changed into a prime (5131455061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890956 + ... + 896696.

It is an arithmetic number, because the mean of its divisors is an integer number (128988288).

Almost surely, 25131455066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131455066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191437824).

5131455066 is an abundant number, since it is smaller than the sum of its proper divisors (7251420582).

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

5131455066 is a wasteful number, since it uses less digits than its factorization.

5131455066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5131455066 is about 71634.1752657208. The cubic root of 5131455066 is about 1724.8321691790.

The spelling of 5131455066 in words is "five billion, one hundred thirty-one million, four hundred fifty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 127 138 153 207 254 306 381 391 414 762 782 1143 1173 2159 2286 2346 2921 3519 4318 5741 5842 6477 7038 8763 11482 12954 17223 17526 19431 26289 34446 38862 49657 51669 52578 97597 99314 103338 132043 148971 195194 264086 292791 297942 396129 446913 585582 729107 792258 878373 893826 1188387 1458214 1756746 2187321 2244731 2376774 4374642 4489462 6561963 6734193 12394819 13123926 13468386 16769461 20202579 24789638 33538922 37184457 40405158 50308383 74368914 100616766 111553371 150925149 223106742 285080837 301850298 570161674 855242511 1710485022 2565727533 5131455066