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164801703200 = 2552206002129
BaseRepresentation
bin1001100101111011110…
…0100110110100100000
3120202101022110221111012
42121132330212310200
510200003214000300
6203413040240052
714622640235621
oct2313674466440
9522338427435
10164801703200
116398a2a0912
1227b33910028
1312704cb9514
147d95517a48
1544482c4435
hex265ef26d20

164801703200 has 36 divisors (see below), whose sum is σ = 402322159890. Its totient is φ = 65920680960.

The previous prime is 164801703167. The next prime is 164801703203. The reversal of 164801703200 is 2307108461.

164801703200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 150460203664 + 14341499536 = 387892^2 + 119756^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (164801703203) 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 5 ways as a sum of consecutive naturals, for example, 103000265 + ... + 103001864.

Almost surely, 2164801703200 is an apocalyptic number.

164801703200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164801703200 is an abundant number, since it is smaller than the sum of its proper divisors (237520456690).

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

164801703200 is a wasteful number, since it uses less digits than its factorization.

164801703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206002149 (or 206002136 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 164801703200 in words is "one hundred sixty-four billion, eight hundred one million, seven hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 206002129 412004258 824008516 1030010645 1648017032 2060021290 3296034064 4120042580 5150053225 6592068128 8240085160 10300106450 16480170320 20600212900 32960340640 41200425800 82400851600 164801703200