Search a number
-
+
61060065040836 = 223213023492
BaseRepresentation
bin11011110001000101001110…
…11111001001100111000100
322000012021200220210011110100
431320202213133021213010
531000402003122301321
6333510335011124100
715601305222212541
oct1570424737114704
9260167626704410
1061060065040836
1118501478979214
126a21a242a3630
13280bc29bc76c4
141111474123bc8
1570d4a4618326
hex3788a77c99c4

61060065040836 has 27 divisors (see below), whose sum is σ = 154346394033741. Its totient is φ = 20353339385424.

The previous prime is 61060065040829. The next prime is 61060065040859. The reversal of 61060065040836 is 63804056006016.

The square root of 61060065040836 is 7814094.

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

61060065040836 is a `hidden beast` number, since 6 + 1 + 0 + 60 + 0 + 6 + 504 + 0 + 83 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4984529551236 + 56075535489600 = 2232606^2 + 7488360^2 .

It is a super-2 number, since 2×610600650408362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61060065040791 and 61060065040800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46233390 + ... + 47535738.

Almost surely, 261060065040836 is an apocalyptic number.

61060065040836 is the 7814094-th square number.

It is an amenable number.

61060065040836 is an abundant number, since it is smaller than the sum of its proper divisors (93286328992905).

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

61060065040836 is an frugal number, since it uses more digits than its factorization.

61060065040836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604708 (or 1302354 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 61060065040836 in words is "sixty-one trillion, sixty billion, sixty-five million, forty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1302349 2604698 3907047 5209396 7814094 11721141 15628188 23442282 46884564 1696112917801 3392225835602 5088338753403 6784451671204 10176677506806 15265016260209 20353355013612 30530032520418 61060065040836