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55469664000 = 2833531931109
BaseRepresentation
bin110011101010001111…
…111110011100000000
312022011202221220002000
4303222033332130000
51402100213222000
641252111224000
74002406236012
oct635217763400
9168152856060
1055469664000
11215851a7623
12a900818000
1352cccc17ba
142982d2c1b2
151699b71000
hexcea3fe700

55469664000 has 1152 divisors, whose sum is σ = 224480256000. Its totient is φ = 13436928000.

The previous prime is 55469663993. The next prime is 55469664007. The reversal of 55469664000 is 46696455.

55469664000 is a `hidden beast` number, since 5 + 546 + 9 + 66 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55469663993) and next prime (55469664007).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55469664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508895946 + ... + 508896054.

Almost surely, 255469664000 is an apocalyptic number.

55469664000 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 55469664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112240128000).

55469664000 is an abundant number, since it is smaller than the sum of its proper divisors (169010592000).

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

55469664000 is a wasteful number, since it uses less digits than its factorization.

55469664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55469664000 in words is "fifty-five billion, four hundred sixty-nine million, six hundred sixty-four thousand".