Search a number
-
+
34283530985796 = 22329758692
BaseRepresentation
bin1111100101110010000011…
…01011111010000101000100
311111101110210012221212211100
413302321001223322011010
513443200132413021141
6200525345310140100
710135621600123221
oct762710153720504
9144343705855740
1034283530985796
11aa18622520884
123a184651b1630
131618c00086b61
1486749048c948
153e6bd76a50b6
hex1f2e41afa144

34283530985796 has 27 divisors (see below), whose sum is σ = 86661236573821. Its totient is φ = 11427831951504.

The previous prime is 34283530985791. The next prime is 34283530985807. The reversal of 34283530985796 is 69758903538243.

The square root of 34283530985796 is 5855214.

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

34283530985796 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 3 + 530 + 9 + 85 + 7 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29545595163396 + 4737935822400 = 5435586^2 + 2176680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34283530985791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34643350 + ... + 35619218.

Almost surely, 234283530985796 is an apocalyptic number.

34283530985796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34283530985796 is the 5855214-th square number.

It is an amenable number.

34283530985796 is an abundant number, since it is smaller than the sum of its proper divisors (52377705588025).

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

34283530985796 is an frugal number, since it uses more digits than its factorization.

34283530985796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951748 (or 975874 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 34283530985796 in words is "thirty-four trillion, two hundred eighty-three billion, five hundred thirty million, nine hundred eighty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 975869 1951738 2927607 3903476 5855214 8782821 11710428 17565642 35131284 952320305161 1904640610322 2856960915483 3809281220644 5713921830966 8570882746449 11427843661932 17141765492898 34283530985796