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55144104400 = 24527112375383
BaseRepresentation
bin110011010110110110…
…000100000111010000
312021100002100202021001
4303112312010013100
51400413342320100
641155521311344
73661344103450
oct632666040720
9167302322231
1055144104400
1121428455900
12a82b795554
13527a714b98
1429519c3d60
15167b2b3d6a
hexcd6d841d0

55144104400 has 720 divisors, whose sum is σ = 176246969472. Its totient is φ = 16210022400.

The previous prime is 55144104373. The next prime is 55144104401. The reversal of 55144104400 is 440144155.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55144104401) 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, 664386759 + ... + 664386841.

Almost surely, 255144104400 is an apocalyptic number.

55144104400 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 55144104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88123484736).

55144104400 is an abundant number, since it is smaller than the sum of its proper divisors (121102865072).

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

55144104400 is a wasteful number, since it uses less digits than its factorization.

55144104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 55144104400 its reverse (440144155), we get a palindrome (55584248555).

The spelling of 55144104400 in words is "fifty-five billion, one hundred forty-four million, one hundred four thousand, four hundred".