Search a number
-
+
1030704635808 = 25327297490453
BaseRepresentation
bin11101111111110101100…
…10001001111110100000
310122112102120121112110200
432333322302021332200
5113341340341321213
62105255453225200
7134315551564461
oct16777262117640
93575376545420
101030704635808
11368134995271
12147910a92200
137626c6340b3
1437c5a2b4d68
151bc2717b273
hexeffac89fa0

1030704635808 has 72 divisors (see below), whose sum is σ = 2931473966148. Its totient is φ = 343520428032.

The previous prime is 1030704635801. The next prime is 1030704635861. The reversal of 1030704635808 is 8085364070301.

1030704635808 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 7 + 0 + 4 + 63 + 580 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 977227148304 + 53477487504 = 988548^2 + 231252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10307046358082 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030704635801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1856310 + ... + 2346762.

Almost surely, 21030704635808 is an apocalyptic number.

1030704635808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1030704635808 is an abundant number, since it is smaller than the sum of its proper divisors (1900769330340).

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

1030704635808 is a wasteful number, since it uses less digits than its factorization.

1030704635808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497766 (or 497755 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1030704635808 in words is "one trillion, thirty billion, seven hundred four million, six hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7297 14594 21891 29188 43782 58376 65673 87564 116752 131346 175128 233504 262692 350256 490453 525384 700512 980906 1050768 1471359 1961812 2101536 2942718 3923624 4414077 5885436 7847248 8828154 11770872 15694496 17656308 23541744 35312616 47083488 70625232 141250464 3578835541 7157671082 10736506623 14315342164 21473013246 28630684328 32209519869 42946026492 57261368656 64419039738 85892052984 114522737312 128838079476 171784105968 257676158952 343568211936 515352317904 1030704635808