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5501379600 = 243352593859
BaseRepresentation
bin1010001111110100…
…00110010000010000
3112012101211001002000
411013322012100100
542231323121400
62305521354000
7253220645403
oct50772062020
915171731060
105501379600
112373426a12
121096498900
136989a7902
143a28d5d3a
15222e93600
hex147e86410

5501379600 has 240 divisors, whose sum is σ = 19636689600. Its totient is φ = 1462855680.

The previous prime is 5501379599. The next prime is 5501379601. The reversal of 5501379600 is 69731055.

It is a happy number.

5501379600 is a `hidden beast` number, since 550 + 13 + 7 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5501379599) and next prime (5501379601).

It is a tau number, because it is divible by the number of its divisors (240).

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 (5501379601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6403971 + ... + 6404829.

It is an arithmetic number, because the mean of its divisors is an integer number (81819540).

Almost surely, 25501379600 is an apocalyptic number.

5501379600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5501379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9818344800).

5501379600 is an abundant number, since it is smaller than the sum of its proper divisors (14135310000).

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

5501379600 is a wasteful number, since it uses less digits than its factorization.

5501379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5501379600 is about 74171.2855490587. The cubic root of 5501379600 is about 1765.3217452809.

The spelling of 5501379600 in words is "five billion, five hundred one million, three hundred seventy-nine thousand, six hundred".