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164996341848 = 2333131916318973
BaseRepresentation
bin1001100110101010001…
…1000110000001011000
3120202212212201121112000
42121222203012001120
510200403030414343
6203444232121000
714630522523342
oct2315243060130
9522785647460
10164996341848
1163a7a1517a8
1227b88b36160
1312736417410
147db3302292
15445a41eed3
hex266a8c6058

164996341848 has 256 divisors, whose sum is σ = 522771648000. Its totient is φ = 47798512128.

The previous prime is 164996341817. The next prime is 164996341879. The reversal of 164996341848 is 848143699461.

164996341848 is a `hidden beast` number, since 1 + 6 + 499 + 63 + 4 + 1 + 84 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (164996341817) and next prime (164996341879).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8686890 + ... + 8705862.

It is an arithmetic number, because the mean of its divisors is an integer number (2042076750).

Almost surely, 2164996341848 is an apocalyptic number.

164996341848 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 164996341848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261385824000).

164996341848 is an abundant number, since it is smaller than the sum of its proper divisors (357775306152).

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

164996341848 is a wasteful number, since it uses less digits than its factorization.

164996341848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19183 (or 19173 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 164996341848 in words is "one hundred sixty-four billion, nine hundred ninety-six million, three hundred forty-one thousand, eight hundred forty-eight".