Search a number
-
+
53112471552000 = 2253353767
BaseRepresentation
bin11000001001110001101100…
…00000000000000000000000
320222001111120110111100221000
430010320312000000000000
523430143320204131000
6304543311012332000
714121151362201510
oct1404706600000000
9228044513440830
1053112471552000
1115a17966608533
125b59677314000
13238363b7cb783
14d1892ba4b840
1562189d458000
hex304e36000000

53112471552000 has 1664 divisors, whose sum is σ = 227805061985280. Its totient is φ = 11958799564800.

The previous prime is 53112471551987. The next prime is 53112471552059. The reversal of 53112471552000 is 25517421135.

53112471552000 is a `hidden beast` number, since 5 + 3 + 1 + 124 + 7 + 1 + 5 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792723455967 + ... + 792723456033.

It is an arithmetic number, because the mean of its divisors is an integer number (136902080520).

Almost surely, 253112471552000 is an apocalyptic number.

53112471552000 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 53112471552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113902530992640).

53112471552000 is an abundant number, since it is smaller than the sum of its proper divisors (174692590433280).

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

53112471552000 is an frugal number, since it uses more digits than its factorization.

53112471552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 53112471552000 its reverse (25517421135), we get a palindrome (53137988973135).

The spelling of 53112471552000 in words is "fifty-three trillion, one hundred twelve billion, four hundred seventy-one million, five hundred fifty-two thousand".