Search a number
-
+
53885143689300 = 2232527114161310901
BaseRepresentation
bin11000100000010000111001…
…10110010010100001010100
321001210100222022102211210200
430100020130312102201110
524030323233241024200
6310334254314020500
714231034044043450
oct1420103466224124
9231710868384720
1053885143689300
1116195619914530
126063375717730
13240b468b92591
14d440aa7c7660
15636a22500800
hex31021cd92854

53885143689300 has 864 divisors, whose sum is σ = 219249602627328. Its totient is φ = 10744704000000.

The previous prime is 53885143689257. The next prime is 53885143689317. The reversal of 53885143689300 is 398634158835.

53885143689300 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 514 + 3 + 6 + 89 + 30 + 0 = 666.

It is a super-2 number, since 2×538851436893002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 173163850 + ... + 173474750.

It is an arithmetic number, because the mean of its divisors is an integer number (253761114152).

Almost surely, 253885143689300 is an apocalyptic number.

53885143689300 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 53885143689300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109624801313664).

53885143689300 is an abundant number, since it is smaller than the sum of its proper divisors (165364458938028).

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

53885143689300 is a wasteful number, since it uses less digits than its factorization.

53885143689300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311041 (or 311031 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 53885143689300 in words is "fifty-three trillion, eight hundred eighty-five billion, one hundred forty-three million, six hundred eighty-nine thousand, three hundred".