Search a number
-
+
350068655556 = 223231231812
BaseRepresentation
bin1010001100000011011…
…01111100010111000100
31020110120212221021002100
411012001231330113010
521213420033434211
6424452550112100
734202012322144
oct5060155742704
91213525837070
10350068655556
111255106a2284
1257a1934b630
132701bb89209
1412d2ca24924
15918d0b6156
hex5181b7c5c4

350068655556 has 81 divisors (see below), whose sum is σ = 914649135309. Its totient is φ = 112889872800.

The previous prime is 350068655551. The next prime is 350068655561. The reversal of 350068655556 is 655556860053.

The square root of 350068655556 is 591666.

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

350068655556 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 6 + 86 + 5 + 5 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (350068655551) and next prime (350068655561).

It can be written as a sum of positive squares in only one way, i.e., 26125549956 + 323943105600 = 161634^2 + 569160^2 .

It is not an unprimeable number, because it can be changed into a prime (350068655551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110048286 + ... + 110051466.

Almost surely, 2350068655556 is an apocalyptic number.

350068655556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

350068655556 is the 591666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350068655556

350068655556 is an abundant number, since it is smaller than the sum of its proper divisors (564580479753).

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

350068655556 is an equidigital number, since it uses as much as digits as its factorization.

350068655556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6434 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 350068655556 in words is "three hundred fifty billion, sixty-eight million, six hundred fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3181 3844 5766 6362 8649 9543 11532 12724 17298 19086 28629 34596 38172 57258 98611 114516 197222 295833 394444 591666 887499 1183332 1774998 3056941 3549996 6113882 9170823 10118761 12227764 18341646 20237522 27512469 30356283 36683292 40475044 55024938 60712566 91068849 110049876 121425132 182137698 313681591 364275396 627363182 941044773 1254726364 1882089546 2823134319 3764179092 5646268638 9724129321 11292537276 19448258642 29172387963 38896517284 58344775926 87517163889 116689551852 175034327778 350068655556