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157023225801 = 32131342078853
BaseRepresentation
bin1001001000111101010…
…0000100011111001001
3120000022012220100110200
42102033110010133021
510033040421211201
6200045132402413
714226116253141
oct2221724043711
9500265810420
10157023225801
11606585766a2
1226522916409
1311a65627b80
147858435921
154140485386
hex248f5047c9

157023225801 has 12 divisors (see below), whose sum is σ = 244258351428. Its totient is φ = 96629677344.

The previous prime is 157023225787. The next prime is 157023225803. The reversal of 157023225801 is 108522320751.

157023225801 is a `hidden beast` number, since 1 + 5 + 70 + 2 + 3 + 2 + 2 + 580 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58515126201 + 98508099600 = 241899^2 + 313860^2 .

It is not a de Polignac number, because 157023225801 - 217 = 157023094729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157023225803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671039310 + ... + 671039543.

It is an arithmetic number, because the mean of its divisors is an integer number (20354862619).

Almost surely, 2157023225801 is an apocalyptic number.

It is an amenable number.

157023225801 is a deficient number, since it is larger than the sum of its proper divisors (87235125627).

157023225801 is a wasteful number, since it uses less digits than its factorization.

157023225801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342078872 (or 1342078869 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 157023225801 in words is "one hundred fifty-seven billion, twenty-three million, two hundred twenty-five thousand, eight hundred one".

Divisors: 1 3 9 13 39 117 1342078853 4026236559 12078709677 17447025089 52341075267 157023225801