Search a number
-
+
53308025971200 = 293252711131771383
BaseRepresentation
bin11000001111011101111011…
…11100111010001000000000
320222202012022222122011000200
430013232331330322020000
523441344314122034300
6305213211414245200
714141243402266530
oct1407567574721000
9228665288564020
1053308025971200
1115a92896a18010
125b8b552056800
132398c04ab8b60
14d2419d54b4c0
156269e648d200
hex307bbdf3a200

53308025971200 has 5760 divisors, whose sum is σ = 275750414843904. Its totient is φ = 9463136256000.

The previous prime is 53308025971157. The next prime is 53308025971247. The reversal of 53308025971200 is 217952080335.

53308025971200 is a `hidden beast` number, since 5 + 3 + 30 + 8 + 0 + 2 + 597 + 1 + 20 + 0 = 666.

53308025971200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×533080259712002 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 139185446209 + ... + 139185446591.

Almost surely, 253308025971200 is an apocalyptic number.

53308025971200 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 53308025971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137875207421952).

53308025971200 is an abundant number, since it is smaller than the sum of its proper divisors (222442388872704).

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

53308025971200 is a wasteful number, since it uses less digits than its factorization.

53308025971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 53308025971200 in words is "fifty-three trillion, three hundred eight billion, twenty-five million, nine hundred seventy-one thousand, two hundred".