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5593014144 = 273317234139
BaseRepresentation
bin1010011010101111…
…01001111110000000
3112102210020120001000
411031113221332000
542423302423034
62322553412000
7255412556454
oct51527517600
915383216030
105593014144
112410124343
12110110a000
136b197c833
143b0b4a664
1522b044599
hex14d5e9f80

5593014144 has 256 divisors, whose sum is σ = 18242496000. Its totient is φ = 1677975552.

The previous prime is 5593014107. The next prime is 5593014169. The reversal of 5593014144 is 4414103955.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5593014099 and 5593014108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349227 + ... + 1353365.

It is an arithmetic number, because the mean of its divisors is an integer number (71259750).

Almost surely, 25593014144 is an apocalyptic number.

5593014144 is a gapful number since it is divisible by the number (54) 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 5593014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121248000).

5593014144 is an abundant number, since it is smaller than the sum of its proper divisors (12649481856).

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

5593014144 is a wasteful number, since it uses less digits than its factorization.

5593014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5593014144 is about 74786.4569557885. The cubic root of 5593014144 is about 1775.0692712766.

The spelling of 5593014144 in words is "five billion, five hundred ninety-three million, fourteen thousand, one hundred forty-four".