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5505579072 = 26357103491
BaseRepresentation
bin1010010000010100…
…00111100001000000
3112012200201101200000
411020022013201000
542233412012242
62310151400000
7253301435640
oct51012074100
915180641600
105505579072
112375835054
121097983000
136998181c6
143a32aa520
15223522a4c
hex148287840

5505579072 has 336 divisors, whose sum is σ = 18923154432. Its totient is φ = 1554577920.

The previous prime is 5505579049. The next prime is 5505579073. The reversal of 5505579072 is 2709755055.

5505579072 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 579 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×55055790722 = 60622801836088762368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5505579073) 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, 11212747 + ... + 11213237.

It is an arithmetic number, because the mean of its divisors is an integer number (56318912).

Almost surely, 25505579072 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 5505579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461577216).

5505579072 is an abundant number, since it is smaller than the sum of its proper divisors (13417575360).

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

5505579072 is a wasteful number, since it uses less digits than its factorization.

5505579072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The square root of 5505579072 is about 74199.5894328264. The cubic root of 5505579072 is about 1765.7708164980.

The spelling of 5505579072 in words is "five billion, five hundred five million, five hundred seventy-nine thousand, seventy-two".