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55406674944 = 210351072081
BaseRepresentation
bin110011100110011111…
…101100010000000000
312022000101102201100000
4303212133230100000
51401433102044234
641241541200000
74001012652315
oct634637542000
9168011381300
1055406674944
1121552694a55
12a8a3700000
1352bcc3917a
142978812d0c
15169437c899
hexce67ec400

55406674944 has 264 divisors, whose sum is σ = 167542004448. Its totient is φ = 18287493120.

The previous prime is 55406674903. The next prime is 55406674957. The reversal of 55406674944 is 44947660455.

55406674944 is a `hidden beast` number, since 5 + 540 + 6 + 6 + 7 + 4 + 94 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26623984 + ... + 26626064.

Almost surely, 255406674944 is an apocalyptic number.

55406674944 is a gapful number since it is divisible by the number (54) 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 55406674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83771002224).

55406674944 is an abundant number, since it is smaller than the sum of its proper divisors (112135329504).

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

55406674944 is a wasteful number, since it uses less digits than its factorization.

55406674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 55406674944 in words is "fifty-five billion, four hundred six million, six hundred seventy-four thousand, nine hundred forty-four".