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55001990400 = 28352721719181
BaseRepresentation
bin110011001110010111…
…111100010100000000
312020222011221121111120
4303032113330110000
51400121002143100
641133443312240
73655000130100
oct631627742400
9166864847446
1055001990400
112136520a515
12a7b007b680
135257147566
14293ab8d200
15166da910a0
hexcce5fc500

55001990400 has 1296 divisors, whose sum is σ = 236641728960. Its totient is φ = 11147673600.

The previous prime is 55001990387. The next prime is 55001990429. The reversal of 55001990400 is 409910055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303878310 + ... + 303878490.

Almost surely, 255001990400 is an apocalyptic number.

55001990400 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 55001990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320864480).

55001990400 is an abundant number, since it is smaller than the sum of its proper divisors (181639738560).

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

55001990400 is a wasteful number, since it uses less digits than its factorization.

55001990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

It can be divided in two parts, 55001 and 990400, that added together give a palindrome (1045401).

The spelling of 55001990400 in words is "fifty-five billion, one million, nine hundred ninety thousand, four hundred".