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52258931712 = 210321332989
BaseRepresentation
bin110000101010111000…
…000000010000000000
311222220000101210101100
4300222320000100000
51324011241303322
640001334134400
73530011406331
oct605270002000
9158800353340
1052258931712
1120187893969
12a1654b1400
134c0aa66000
14275a74c288
15155cd52dac
hexc2ae00400

52258931712 has 528 divisors, whose sum is σ = 171002286000. Its totient is φ = 15350759424.

The previous prime is 52258931579. The next prime is 52258931713. The reversal of 52258931712 is 21713985225.

52258931712 is a `hidden beast` number, since 5 + 22 + 589 + 31 + 7 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42839064576 + 9419867136 = 206976^2 + 97056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52258931713) 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, 587178964 + ... + 587179052.

Almost surely, 252258931712 is an apocalyptic number.

52258931712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52258931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85501143000).

52258931712 is an abundant number, since it is smaller than the sum of its proper divisors (118743354288).

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

52258931712 is a wasteful number, since it uses less digits than its factorization.

52258931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 136 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

It can be divided in two parts, 522 and 58931712, that multiplied together give a square (30762353664 = 1753922).

The spelling of 52258931712 in words is "fifty-two billion, two hundred fifty-eight million, nine hundred thirty-one thousand, seven hundred twelve".