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55464460506 = 23471321671733
BaseRepresentation
bin110011101001111100…
…001000000011011010
312022011102011112020000
4303221330020003122
51402042400214011
641251403513430
74002314064330
oct635174100332
9168142145200
1055464460506
1121582273114
12a8bab28876
1352cbbbc200
142982375b50
151699494356
hexce9f080da

55464460506 has 240 divisors, whose sum is σ = 154812518784. Its totient is φ = 14532006528.

The previous prime is 55464460411. The next prime is 55464460507. The reversal of 55464460506 is 60506446455.

55464460506 is a `hidden beast` number, since 5 + 5 + 46 + 44 + 60 + 506 = 666.

It is not an unprimeable number, because it can be changed into a prime (55464460507) 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 119 ways as a sum of consecutive naturals, for example, 32004016 + ... + 32005748.

Almost surely, 255464460506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55464460506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77406259392).

55464460506 is an abundant number, since it is smaller than the sum of its proper divisors (99348058278).

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

55464460506 is a wasteful number, since it uses less digits than its factorization.

55464460506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 55464460506 in words is "fifty-five billion, four hundred sixty-four million, four hundred sixty thousand, five hundred six".