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55420014400 = 26523110131103
BaseRepresentation
bin110011100111010010…
…100100111101000000
312022001022112102121221
4303213102210331000
51402000010430100
641243135124424
74001234231002
oct634722447500
9168038472557
1055420014400
112155a1760a3
12a8a8073714
1352c2929a3a
14297a4c6372
15169561501a
hexce74a4f40

55420014400 has 168 divisors, whose sum is σ = 141033544704. Its totient is φ = 21412300800.

The previous prime is 55420014361. The next prime is 55420014407. The reversal of 55420014400 is 441002455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55420014407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50244249 + ... + 50245351.

Almost surely, 255420014400 is an apocalyptic number.

55420014400 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 55420014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70516772352).

55420014400 is an abundant number, since it is smaller than the sum of its proper divisors (85613530304).

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

55420014400 is a wasteful number, since it uses less digits than its factorization.

55420014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 55420014400 its reverse (441002455), we get a palindrome (55861016855).

The spelling of 55420014400 in words is "fifty-five billion, four hundred twenty million, fourteen thousand, four hundred".