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5059145952 = 25347535261
BaseRepresentation
bin1001011011000110…
…00111000011100000
3111001120200020120000
410231203013003200
540330120132302
62154003020000
7236241013440
oct45543070340
914046606500
105059145952
112166835263
12b9236a600
13628199bb3
1435dc9a120
151e923b31c
hex12d8c70e0

5059145952 has 240 divisors, whose sum is σ = 17328481632. Its totient is φ = 1417927680.

The previous prime is 5059145911. The next prime is 5059145969. The reversal of 5059145952 is 2595419505.

5059145952 is a `hidden beast` number, since 5 + 0 + 59 + 1 + 4 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5059145898 and 5059145907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 959002 + ... + 964262.

Almost surely, 25059145952 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 5059145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664240816).

5059145952 is an abundant number, since it is smaller than the sum of its proper divisors (12269335680).

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

5059145952 is a wasteful number, since it uses less digits than its factorization.

5059145952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The square root of 5059145952 is about 71127.6736017705. The cubic root of 5059145952 is about 1716.6920774362.

The spelling of 5059145952 in words is "five billion, fifty-nine million, one hundred forty-five thousand, nine hundred fifty-two".