Search a number
-
+
55450370976 = 253721113217373
BaseRepresentation
bin110011101001000110…
…011000001110100000
312022010102122201000120
4303221012120032200
51402030243332401
641250141520240
74002053243100
oct635106301640
9168112581016
1055450370976
112157531a480
12a8b6273080
1352c8cc8100
142980549200
15169810e836
hexce91983a0

55450370976 has 864 divisors, whose sum is σ = 212349791808. Its totient is φ = 12479201280.

The previous prime is 55450370957. The next prime is 55450370977. The reversal of 55450370976 is 67907305455.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (55450370977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148660326 + ... + 148660698.

It is an arithmetic number, because the mean of its divisors is an integer number (245775222).

Almost surely, 255450370976 is an apocalyptic number.

55450370976 is a gapful number since it is divisible by the number (56) 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 55450370976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106174895904).

55450370976 is an abundant number, since it is smaller than the sum of its proper divisors (156899420832).

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

55450370976 is a wasteful number, since it uses less digits than its factorization.

55450370976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 51.

It can be divided in two parts, 55450 and 370976, that added together give a triangular number (426426 = T923).

The spelling of 55450370976 in words is "fifty-five billion, four hundred fifty million, three hundred seventy thousand, nine hundred seventy-six".