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55412054400 = 2735223924151
BaseRepresentation
bin110011100110110100…
…001101100110000000
312022000202120000120010
4303212310031212000
51401440441220100
641242252344520
74001106456003
oct634664154600
9168022500503
1055412054400
112155572968a
12a8a5475140
1352c10a0891
14297941353a
151694a91750
hexce6d0d980

55412054400 has 192 divisors, whose sum is σ = 183284697600. Its totient is φ = 14714112000.

The previous prime is 55412054393. The next prime is 55412054431. The reversal of 55412054400 is 445021455.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2282325 + ... + 2306475.

It is an arithmetic number, because the mean of its divisors is an integer number (954607800).

Almost surely, 255412054400 is an apocalyptic number.

55412054400 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 55412054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91642348800).

55412054400 is an abundant number, since it is smaller than the sum of its proper divisors (127872643200).

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

55412054400 is a wasteful number, since it uses less digits than its factorization.

55412054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24417 (or 24400 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 55412054400 its reverse (445021455), we get a palindrome (55857075855).

The spelling of 55412054400 in words is "fifty-five billion, four hundred twelve million, fifty-four thousand, four hundred".