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385359117529 = 6207732
BaseRepresentation
bin1011001101110010011…
…00010111110011011001
31100211200100011110221111
411212321030113303121
522303203413230104
6453010451140321
736561362311321
oct5467114276331
91324610143844
10385359117529
111394801a2731
1262827ba46a1
132a45431b489
1414919940281
15a0563be404
hex59b9317cd9

385359117529 has 3 divisors (see below), whose sum is σ = 385359738303. Its totient is φ = 385358496756.

The previous prime is 385359117509. The next prime is 385359117541. The reversal of 385359117529 is 925711953583.

The square root of 385359117529 is 620773.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8917969225 + 376441148304 = 94435^2 + 613548^2 .

It is not a de Polignac number, because 385359117529 - 211 = 385359115481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385359117509) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 310387 + ... + 931159.

It is an arithmetic number, because the mean of its divisors is an integer number (128453246101).

Almost surely, 2385359117529 is an apocalyptic number.

385359117529 is the 620773-rd square number.

385359117529 is the 310387-th centered octagonal number.

It is an amenable number.

385359117529 is a deficient number, since it is larger than the sum of its proper divisors (620774).

385359117529 is an frugal number, since it uses more digits than its factorization.

385359117529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241546 (or 620773 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 58.

The spelling of 385359117529 in words is "three hundred eighty-five billion, three hundred fifty-nine million, one hundred seventeen thousand, five hundred twenty-nine".

Divisors: 1 620773 385359117529