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5130666464 = 2571111318427
BaseRepresentation
bin1001100011100111…
…11100000111100000
3111020120020212020212
410301303330013200
541001422311324
62205035553252
7241066642160
oct46163740740
914216225225
105130666464
1121a3144720
12bb22bb828
13639c4b821
143695965a0
1520066770e
hex131cfc1e0

5130666464 has 96 divisors (see below), whose sum is σ = 12705590016. Its totient is φ = 1981163520.

The previous prime is 5130666449. The next prime is 5130666469. The reversal of 5130666464 is 4646660315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130666469) 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, 269219 + ... + 287645.

It is an arithmetic number, because the mean of its divisors is an integer number (132349896).

Almost surely, 25130666464 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 5130666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352795008).

5130666464 is an abundant number, since it is smaller than the sum of its proper divisors (7574923552).

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

5130666464 is a wasteful number, since it uses less digits than its factorization.

5130666464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18568 (or 18560 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 5130666464 is about 71628.6706843007. The cubic root of 5130666464 is about 1724.7438072514.

The spelling of 5130666464 in words is "five billion, one hundred thirty million, six hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 113 154 176 224 226 308 352 452 616 791 904 1232 1243 1582 1808 2464 2486 3164 3616 4972 6328 8701 9944 12656 17402 18427 19888 25312 34804 36854 39776 69608 73708 128989 139216 147416 202697 257978 278432 294832 405394 515956 589664 810788 1031912 1418879 1621576 2063824 2082251 2837758 3243152 4127648 4164502 5675516 6486304 8329004 11351032 14575757 16658008 22702064 22904761 29151514 33316016 45404128 45809522 58303028 66632032 91619044 116606056 160333327 183238088 233212112 320666654 366476176 466424224 641333308 732952352 1282666616 2565333232 5130666464