Search a number
-
+
5553252505350 = 232521119371595831
BaseRepresentation
bin101000011001111011110…
…1001001001011100000110
3201122212220201022101211200
41100303313221021130012
51211441030120132400
615451043505443330
71112131526315244
oct120636751113406
921585821271750
105553252505350
1118511372a2460
12758311040546
13313891a75124
14152ac9271794
15996bd519b00
hex50cf7a49706

5553252505350 has 288 divisors, whose sum is σ = 17595771298560. Its totient is φ = 1240917408000.

The previous prime is 5553252505289. The next prime is 5553252505441. The reversal of 5553252505350 is 535052523555.

5553252505350 is a `hidden beast` number, since 5 + 553 + 25 + 25 + 0 + 5 + 3 + 50 = 666.

It is a super-2 number, since 2×55532525053502 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5553252505296 and 5553252505305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2681935 + ... + 4277765.

It is an arithmetic number, because the mean of its divisors is an integer number (61096428120).

Almost surely, 25553252505350 is an apocalyptic number.

5553252505350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5553252505350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797885649280).

5553252505350 is an abundant number, since it is smaller than the sum of its proper divisors (12042518793210).

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

5553252505350 is a wasteful number, since it uses less digits than its factorization.

5553252505350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595916 (or 1595908 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 45.

The spelling of 5553252505350 in words is "five trillion, five hundred fifty-three billion, two hundred fifty-two million, five hundred five thousand, three hundred fifty".