Search a number
-
+
52571606394384 = 243274112192592
BaseRepresentation
bin10111111010000010001111…
…11011001010011000010000
320220010210111122021120001100
423331001013323022120100
523342313122214110014
6303451021303104400
714034113262210000
oct1375010773123020
9226123448246040
1052571606394384
11158295472a8300
125a90890742100
1323446342b3b7c
14cda69d3b0000
15612794de5009
hex2fd047eca610

52571606394384 has 2025 divisors, whose sum is σ = 202544613677679. Its totient is φ = 12717021461760.

The previous prime is 52571606394283. The next prime is 52571606394401. The reversal of 52571606394384 is 48349360617525.

The square root of 52571606394384 is 7250628.

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

52571606394384 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 160 + 6 + 3 + 94 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 891044176147 + ... + 891044176205.

It is a 1-persistent number, because it is pandigital, but 2⋅52571606394384 = 105143212788768 is not.

Almost surely, 252571606394384 is an apocalyptic number.

52571606394384 is the 7250628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52571606394384

52571606394384 is an abundant number, since it is smaller than the sum of its proper divisors (149973007283295).

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

52571606394384 is a wasteful number, since it uses less digits than its factorization.

52571606394384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 52571606394384 in words is "fifty-two trillion, five hundred seventy-one billion, six hundred six million, three hundred ninety-four thousand, three hundred eighty-four".