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53301998880 = 253251319314753
BaseRepresentation
bin110001101001000010…
…111111010100100000
312002120201010002112200
4301221002333110200
51333130302431010
640253034453200
73564605341434
oct615102772440
9162521102480
1053301998880
1120672652749
12a3b6894200
135045ba1b10
1428190aa9c4
1515be6decc0
hexc690bf520

53301998880 has 288 divisors, whose sum is σ = 196913139696. Its totient is φ = 13051625472.

The previous prime is 53301998837. The next prime is 53301998881. The reversal of 53301998880 is 8889910335.

53301998880 is a `hidden beast` number, since 533 + 0 + 19 + 98 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7302044304 + 45999954576 = 85452^2 + 214476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×533019988802 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53301998881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3605584 + ... + 3620336.

Almost surely, 253301998880 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 53301998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98456569848).

53301998880 is an abundant number, since it is smaller than the sum of its proper divisors (143611140816).

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

53301998880 is a wasteful number, since it uses less digits than its factorization.

53301998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14980 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 53301998880 in words is "fifty-three billion, three hundred one million, nine hundred ninety-eight thousand, eight hundred eighty".