Search a number
-
+
55958100000 = 253551131547
BaseRepresentation
bin110100000111010111…
…001101100000100000
312100102211001000022020
4310013113031200200
51404100233200000
641412400141440
74020460000455
oct640727154040
9170384030266
1055958100000
1121805985840
12aa18307880
13537a25819a
1429cbb5382c
1516c79a2ba0
hexd075cd820

55958100000 has 576 divisors, whose sum is σ = 207130742784. Its totient is φ = 13104000000.

The previous prime is 55958099959. The next prime is 55958100043. The reversal of 55958100000 is 185955.

It is a super-2 number, since 2×559581000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102299727 + ... + 102300273.

It is an arithmetic number, because the mean of its divisors is an integer number (359601984).

Almost surely, 255958100000 is an apocalyptic number.

55958100000 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 55958100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103565371392).

55958100000 is an abundant number, since it is smaller than the sum of its proper divisors (151172642784).

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

55958100000 is a wasteful number, since it uses less digits than its factorization.

55958100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

Adding to 55958100000 its reverse (185955), we get a palindrome (55958285955).

The spelling of 55958100000 in words is "fifty-five billion, nine hundred fifty-eight million, one hundred thousand".