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52816047480 = 233257241103709
BaseRepresentation
bin110001001100000101…
…001110110101111000
312001022211201012112200
4301030011032311320
51331131402004410
640132515110200
73546554665500
oct611405166570
9161284635480
1052816047480
1120443311219
12a29bba2360
134c992c8301
1427b0730a00
151591bee3c0
hexc4c14ed78

52816047480 has 576 divisors, whose sum is σ = 206824363200. Its totient is φ = 11646996480.

The previous prime is 52816047467. The next prime is 52816047481. The reversal of 52816047480 is 8474061825.

52816047480 is a `hidden beast` number, since 5 + 2 + 8 + 160 + 4 + 7 + 480 = 666.

It is a super-2 number, since 2×528160474802 (a number of 22 digits) contains 22 as substring.

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 (52816047481) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 74493366 + ... + 74494074.

It is an arithmetic number, because the mean of its divisors is an integer number (359070075).

Almost surely, 252816047480 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 52816047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103412181600).

52816047480 is an abundant number, since it is smaller than the sum of its proper divisors (154008315720).

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

52816047480 is a wasteful number, since it uses less digits than its factorization.

52816047480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 52816047480 in words is "fifty-two billion, eight hundred sixteen million, forty-seven thousand, four hundred eighty".