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151387590817 = 1742121152381
BaseRepresentation
bin1000110011111101100…
…1110101000010100001
3112110202110110102122001
42030333121311002201
54440020210401232
6153314013244001
713636345201351
oct2147731650241
9473673412561
10151387590817
1159226391721
122540b493601
1311377ba4908
147481b92b61
153e108226e7
hex233f6750a1

151387590817 has 8 divisors (see below), whose sum is σ = 160673493672. Its totient is φ = 142143993600.

The previous prime is 151387590811. The next prime is 151387590853. The reversal of 151387590817 is 718095783151.

151387590817 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 4 ways, for example, as 2390818816 + 148996772001 = 48896^2 + 386001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-151387590817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151387590811) 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 7 ways as a sum of consecutive naturals, for example, 10569034 + ... + 10583347.

It is an arithmetic number, because the mean of its divisors is an integer number (20084186709).

Almost surely, 2151387590817 is an apocalyptic number.

151387590817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

151387590817 is a deficient number, since it is larger than the sum of its proper divisors (9285902855).

151387590817 is a wasteful number, since it uses less digits than its factorization.

151387590817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21152819.

The product of its (nonzero) digits is 2116800, while the sum is 55.

The spelling of 151387590817 in words is "one hundred fifty-one billion, three hundred eighty-seven million, five hundred ninety thousand, eight hundred seventeen".

Divisors: 1 17 421 7157 21152381 359590477 8905152401 151387590817