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64155006000 = 24325310313457
BaseRepresentation
bin111011101111111011…
…111011010000110000
320010121001221222110100
4323233323323100300
52022342140143000
645250012232400
74430551360551
oct735773732060
9203531858410
1064155006000
1125231912618
121052546b700
136085511217
143168636328
151a073e5a00
hexeefefb430

64155006000 has 240 divisors, whose sum is σ = 224354265408. Its totient is φ = 17086464000.

The previous prime is 64155005989. The next prime is 64155006059. The reversal of 64155006000 is 60055146.

It is a happy number.

64155006000 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 50 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18556272 + ... + 18559728.

Almost surely, 264155006000 is an apocalyptic number.

64155006000 is a gapful number since it is divisible by the number (60) 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 64155006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112177132704).

64155006000 is an abundant number, since it is smaller than the sum of its proper divisors (160199259408).

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

64155006000 is a wasteful number, since it uses less digits than its factorization.

64155006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 64155006000 in words is "sixty-four billion, one hundred fifty-five million, six thousand".