Search a number
-
+
252896555331 = 32747111776463
BaseRepresentation
bin1110101110000111001…
…1110011000101000011
3220011202210111010001100
43223201303303011003
513120413004232311
6312102402505443
724162004152330
oct3534163630503
9804683433040
10252896555331
1198286570132
124101a665283
131ab041c4a64
14c3513ab987
1568a2277a56
hex3ae1cf3143

252896555331 has 48 divisors (see below), whose sum is σ = 426749865984. Its totient is φ = 141309116352.

The previous prime is 252896555321. The next prime is 252896555333. The reversal of 252896555331 is 133555698252.

252896555331 is a `hidden beast` number, since 2 + 5 + 2 + 89 + 6 + 5 + 553 + 3 + 1 = 666.

It is not a de Polignac number, because 252896555331 - 25 = 252896555299 is a prime.

It is a super-2 number, since 2×2528965553312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252896555333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269206 + ... + 3345668.

It is an arithmetic number, because the mean of its divisors is an integer number (8890622208).

Almost surely, 2252896555331 is an apocalyptic number.

252896555331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252896555331 is a deficient number, since it is larger than the sum of its proper divisors (173853310653).

252896555331 is a wasteful number, since it uses less digits than its factorization.

252896555331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77640 (or 77637 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 252896555331 in words is "two hundred fifty-two billion, eight hundred ninety-six million, five hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 1117 2961 3351 7819 10053 23457 52499 70371 76463 157497 229389 367493 472491 535241 688167 1102479 1605723 3307437 3593761 4817169 10781283 25156327 32343849 75468981 85409171 226406943 256227513 597864197 768682539 1793592591 4014231037 5380777773 12042693111 28099617259 36128079333 84298851777 252896555331