Search a number
-
+
53590412851200 = 2113552193171103
BaseRepresentation
bin11000010111101011111011…
…00001010111100000000000
321000202012020000100222100000
430023311331201113200000
524011011131142214300
6305551032405200000
714200531250206131
oct1413657541274000
9230665200328300
1053590412851200
1116091625a56595
126016220a00000
1323b97288b3a64
14d33b0b3adc88
1562e022714c00
hex30bd7d857800

53590412851200 has 3456 divisors, whose sum is σ = 221443426713600. Its totient is φ = 12791955456000.

The previous prime is 53590412851187. The next prime is 53590412851207. The reversal of 53590412851200 is 215821409535.

53590412851200 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 0 + 4 + 128 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×535904128512002 (a number of 28 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 (53590412851207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 520295270349 + ... + 520295270451.

It is an arithmetic number, because the mean of its divisors is an integer number (64075065600).

Almost surely, 253590412851200 is an apocalyptic number.

53590412851200 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 53590412851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110721713356800).

53590412851200 is an abundant number, since it is smaller than the sum of its proper divisors (167853013862400).

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

53590412851200 is a wasteful number, since it uses less digits than its factorization.

53590412851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 53590412851200 in words is "fifty-three trillion, five hundred ninety billion, four hundred twelve million, eight hundred fifty-one thousand, two hundred".