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5507349120 = 2732572131979
BaseRepresentation
bin1010010000100001…
…10111101010000000
3112012211001022201100
411020100313222000
542234340132440
62310253334400
7253322460300
oct51020675200
915184038640
105507349120
1123768339a9
121098497400
13699cb7a80
143a360b600
15223772230
hex148437a80

5507349120 has 1152 divisors, whose sum is σ = 25395552000. Its totient is φ = 1086898176.

The previous prime is 5507349119. The next prime is 5507349131. The reversal of 5507349120 is 219437055.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69713241 + ... + 69713319.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 25507349120 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 5507349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697776000).

5507349120 is an abundant number, since it is smaller than the sum of its proper divisors (19888202880).

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

5507349120 is a wasteful number, since it uses less digits than its factorization.

5507349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5507349120 is about 74211.5160874645. The cubic root of 5507349120 is about 1765.9600284574.

The spelling of 5507349120 in words is "five billion, five hundred seven million, three hundred forty-nine thousand, one hundred twenty".