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164494972908 = 223372113073359
BaseRepresentation
bin1001100100110010101…
…0100001011111101100
3120201120221022102122000
42121030222201133230
510143341203113113
6203322402052300
714612224125330
oct2311452413754
9521527272560
10164494972908
116384213a902
1227a6904a090
13126865a31c6
147d668b17c0
15442b3d6373
hex264caa17ec

164494972908 has 192 divisors, whose sum is σ = 491443814400. Its totient is φ = 46609577280.

The previous prime is 164494972903. The next prime is 164494972937. The reversal of 164494972908 is 809279494461.

164494972908 is a `hidden beast` number, since 16 + 4 + 49 + 497 + 2 + 90 + 8 = 666.

164494972908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1644949729082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164494972903) 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 63 ways as a sum of consecutive naturals, for example, 48969733 + ... + 48973091.

It is an arithmetic number, because the mean of its divisors is an integer number (2559603200).

Almost surely, 2164494972908 is an apocalyptic number.

164494972908 is a gapful number since it is divisible by the number (18) 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 164494972908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245721907200).

164494972908 is an abundant number, since it is smaller than the sum of its proper divisors (326948841492).

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

164494972908 is a wasteful number, since it uses less digits than its factorization.

164494972908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 164494972908 in words is "one hundred sixty-four billion, four hundred ninety-four million, nine hundred seventy-two thousand, nine hundred eight".