Search a number
-
+
53641339236 = 223642892
BaseRepresentation
bin110001111101010001…
…011110000101100100
312010110100122101000000
4301331101132011210
51334324140323421
640350440021300
73606165601062
oct617521360544
9163410571000
1053641339236
1120827157121
12a490461830
13509b295124
14284c1a1032
1515de3c0226
hexc7d45e164

53641339236 has 63 divisors (see below), whose sum is σ = 140776953961. Its totient is φ = 17876277504.

The previous prime is 53641339229. The next prime is 53641339259. The reversal of 53641339236 is 63293314635.

The square root of 53641339236 is 231606.

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

53641339236 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 only one way, i.e., 50487393636 + 3153945600 = 224694^2 + 56160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53641339191 and 53641339200.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12504580 + ... + 12508868.

Almost surely, 253641339236 is an apocalyptic number.

53641339236 is the 231606-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53641339236

53641339236 is an abundant number, since it is smaller than the sum of its proper divisors (87135614725).

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

53641339236 is an frugal number, since it uses more digits than its factorization.

53641339236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600 (or 4294 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 45.

The spelling of 53641339236 in words is "fifty-three billion, six hundred forty-one million, three hundred thirty-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4289 8578 12867 17156 25734 38601 51468 77202 115803 154404 231606 347409 463212 694818 1042227 1389636 2084454 3126681 4168908 6253362 12506724 18395521 36791042 55186563 73582084 110373126 165559689 220746252 331119378 496679067 662238756 993358134 1490037201 1986716268 2980074402 4470111603 5960148804 8940223206 13410334809 17880446412 26820669618 53641339236