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164166927552 = 2639194
BaseRepresentation
bin1001100011100100011…
…1001000010011000000
3120200202002001000000000
42120321013020103000
510142203213140202
6203230043000000
714601131601015
oct2307107102300
9520662030000
10164166927552
1163693a50541
1227997209000
1312633636024
147d350bb70c
15440c6d791c
hex26391c84c0

164166927552 has 350 divisors, whose sum is σ = 515791572428. Its totient is φ = 51842187648.

The previous prime is 164166927521. The next prime is 164166927559. The reversal of 164166927552 is 255729661461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

164166927552 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 69 + 27 + 552 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 164166927552 = 6843 + 54723 = 30783 + 51303.

Its product of digits (5443200) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (164166927559) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 8640364599 + ... + 8640364617.

Almost surely, 2164166927552 is an apocalyptic number.

164166927552 is a gapful number since it is divisible by the number (12) 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 164166927552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257895786214).

164166927552 is an abundant number, since it is smaller than the sum of its proper divisors (351624644876).

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

164166927552 is an frugal number, since it uses more digits than its factorization.

164166927552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 24 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 164166927552 in words is "one hundred sixty-four billion, one hundred sixty-six million, nine hundred twenty-seven thousand, five hundred fifty-two".