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5373941760 = 211345111931
BaseRepresentation
bin1010000000100111…
…11101100000000000
3111212112000112020000
411000103331200000
542001212114020
62245130120000
7250112515455
oct50023754000
914775015200
105373941760
1123084a4a90
12105b880000
136784783c5
1438da0182c
15216bbe090
hex1404fd800

5373941760 has 960 divisors, whose sum is σ = 22832409600. Its totient is φ = 1194393600.

The previous prime is 5373941693. The next prime is 5373941767. The reversal of 5373941760 is 671493735.

5373941760 is a `hidden beast` number, since 537 + 3 + 9 + 41 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5373941767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173352945 + ... + 173352975.

It is an arithmetic number, because the mean of its divisors is an integer number (23783760).

Almost surely, 25373941760 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 5373941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416204800).

5373941760 is an abundant number, since it is smaller than the sum of its proper divisors (17458467840).

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

5373941760 is a wasteful number, since it uses less digits than its factorization.

5373941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 5373941760 is about 73307.1740009121. The cubic root of 5373941760 is about 1751.5840633934.

The spelling of 5373941760 in words is "five billion, three hundred seventy-three million, nine hundred forty-one thousand, seven hundred sixty".