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164722404356640 = 253251323583965521
BaseRepresentation
bin100101011101000001101100…
…011001011111001000100000
3210121020022022120122101102200
4211131001230121133020200
5133042302441003403030
61342200232231413200
746460541511044504
oct4535015431371040
9717208276571380
10164722404356640
1148538419a56269
121658437bb24200
1370bb3437b7350
142c9686d50a304
151409c1b287d60
hex95d06c65f220

164722404356640 has 576 divisors, whose sum is σ = 631792435921920. Its totient is φ = 38776903925760.

The previous prime is 164722404356603. The next prime is 164722404356677. The reversal of 164722404356640 is 46653404227461.

164722404356640 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 2 + 240 + 4 + 356 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (164722404356603) and next prime (164722404356677).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2514007080 + ... + 2514072600.

It is an arithmetic number, because the mean of its divisors is an integer number (1096861867920).

Almost surely, 2164722404356640 is an apocalyptic number.

164722404356640 is a gapful number since it is divisible by the number (10) 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 164722404356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315896217960960).

164722404356640 is an abundant number, since it is smaller than the sum of its proper divisors (467070031565280).

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

164722404356640 is a wasteful number, since it uses less digits than its factorization.

164722404356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71417 (or 71406 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 164722404356640 in words is "one hundred sixty-four trillion, seven hundred twenty-two billion, four hundred four million, three hundred fifty-six thousand, six hundred forty".