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5059111464 = 23321117223312
BaseRepresentation
bin1001011011000101…
…11110101000101000
3111001120121111020200
410231202332220220
540330113031324
62154002152200
7236240511051
oct45542765050
914046544220
105059111464
112166811360
12b92352660
136281872a4
1435dc8b728
151e9230ec9
hex12d8bea28

5059111464 has 432 divisors, whose sum is σ = 17120432160. Its totient is φ = 1335628800.

The previous prime is 5059111429. The next prime is 5059111469. The reversal of 5059111464 is 4641119505.

5059111464 is a `hidden beast` number, since 5 + 0 + 591 + 1 + 1 + 4 + 64 = 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 (5059111469) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 163197129 + ... + 163197159.

It is an arithmetic number, because the mean of its divisors is an integer number (39630630).

Almost surely, 25059111464 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 5059111464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560216080).

5059111464 is an abundant number, since it is smaller than the sum of its proper divisors (12061320696).

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

5059111464 is a wasteful number, since it uses less digits than its factorization.

5059111464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5059111464 is about 71127.4311640734. The cubic root of 5059111464 is about 1716.6881765531.

The spelling of 5059111464 in words is "five billion, fifty-nine million, one hundred eleven thousand, four hundred sixty-four".