Search a number
-
+
6620256956196 = 2232132329872
BaseRepresentation
bin110000001010110011000…
…0100000110111100100100
3212102220001002102121021100
41200111212010012330210
51331431241240044241
622025145402120100
71252204065436422
oct140254604067444
925386032377240
106620256956196
1121226a9509a64
128ab0727b0030
133903979a1900
1418c5ca526112
15b731c3cb9b6
hex60566106f24

6620256956196 has 81 divisors (see below), whose sum is σ = 18121380889521. Its totient is φ = 2036940388704.

The previous prime is 6620256956177. The next prime is 6620256956237. The reversal of 6620256956196 is 6916596520266.

The square root of 6620256956196 is 2572986.

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

6620256956196 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 2 + 5 + 6 + 9 + 5 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 979327952100 + 5640929004096 = 989610^2 + 2375064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200676415 + ... + 200709401.

Almost surely, 26620256956196 is an apocalyptic number.

6620256956196 is the 2572986-th square number.

It is an amenable number.

6620256956196 is an abundant number, since it is smaller than the sum of its proper divisors (11501123933325).

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

6620256956196 is an equidigital number, since it uses as much as digits as its factorization.

6620256956196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66010 (or 33005 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 6620256956196 in words is "six trillion, six hundred twenty billion, two hundred fifty-six million, nine hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 32987 65974 98961 131948 197922 296883 395844 428831 593766 857662 1187532 1286493 1715324 2572986 3859479 5145972 5574803 7718958 11149606 15437916 16724409 22299212 33448818 50173227 66897636 100346454 200692908 1088142169 2176284338 3264426507 4352568676 6528853014 9793279521 13057706028 14145848197 19586559042 28291696394 39173118084 42437544591 56583392788 84875089182 127312633773 169750178364 183896026561 254625267546 367792053122 509250535092 551688079683 735584106244 1103376159366 1655064239049 2206752318732 3310128478098 6620256956196