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157620611241 = 3253330441533
BaseRepresentation
bin1001001011001011101…
…0111010100010101001
3120001211211222200020100
42102302322322202221
510040301334024431
6200224312420013
714246662042512
oct2226272724251
9501754880210
10157620611241
11609347a9175
122666a9a7609
1311b2c319692
1478b38dba09
154177b384e6
hex24b2eba8a9

157620611241 has 12 divisors (see below), whose sum is σ = 231969956868. Its totient is φ = 103097757984.

The previous prime is 157620611233. The next prime is 157620611261. The reversal of 157620611241 is 142116026751.

157620611241 is a `hidden beast` number, since 1 + 5 + 7 + 620 + 6 + 1 + 1 + 24 + 1 = 666.

157620611241 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 2 ways, for example, as 145526990400 + 12093620841 = 381480^2 + 109971^2 .

It is not a de Polignac number, because 157620611241 - 23 = 157620611233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157620611196 and 157620611205.

It is not an unprimeable number, because it can be changed into a prime (157620611201) 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 11 ways as a sum of consecutive naturals, for example, 165220290 + ... + 165221243.

It is an arithmetic number, because the mean of its divisors is an integer number (19330829739).

Almost surely, 2157620611241 is an apocalyptic number.

It is an amenable number.

157620611241 is a deficient number, since it is larger than the sum of its proper divisors (74349345627).

157620611241 is a wasteful number, since it uses less digits than its factorization.

157620611241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330441592 (or 330441589 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 157620611241 its reverse (142116026751), we get a palindrome (299736637992).

The spelling of 157620611241 in words is "one hundred fifty-seven billion, six hundred twenty million, six hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 9 53 159 477 330441533 991324599 2973973797 17513401249 52540203747 157620611241