Search a number
-
+
4661102088 = 2332257251897
BaseRepresentation
bin1000101011101001…
…01100011000001000
3110000211200112000200
410111310230120020
534021220231323
62050303332200
7223335466626
oct42564543010
913024615020
104661102088
111a82085a95
12aa0bb1060
13593891a96
14323084516
151c4312443
hex115d2c608

4661102088 has 48 divisors (see below), whose sum is σ = 12672988380. Its totient is φ = 1547649024.

The previous prime is 4661102081. The next prime is 4661102113. The reversal of 4661102088 is 8802011664.

4661102088 is a `hidden beast` number, since 466 + 110 + 2 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3533351364 + 1127750724 = 59442^2 + 33582^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4661102081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107445 + ... + 144452.

Almost surely, 24661102088 is an apocalyptic number.

It is an amenable number.

4661102088 is an abundant number, since it is smaller than the sum of its proper divisors (8011886292).

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

4661102088 is a wasteful number, since it uses less digits than its factorization.

4661102088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252166 (or 252159 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4661102088 is about 68272.2644124245. The cubic root of 4661102088 is about 1670.4348357914.

The spelling of 4661102088 in words is "four billion, six hundred sixty-one million, one hundred two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 251897 503794 755691 1007588 1511382 2015176 2267073 3022764 4534146 6045528 9068292 18136584 64737529 129475058 194212587 258950116 388425174 517900232 582637761 776850348 1165275522 1553700696 2330551044 4661102088