Search a number
-
+
104271651288 = 233272321133461
BaseRepresentation
bin110000100011100010…
…0110010000111011000
3100222010212111201012200
41201013010302013120
53202022020320123
6115522435210200
710350643261230
oct1410704620730
9328125451180
10104271651288
11402486a0a22
1218260446960
139aa97b475c
1450924c8cc0
152aa426e143
hex18471321d8

104271651288 has 288 divisors, whose sum is σ = 340472190240. Its totient is φ = 28236257280.

The previous prime is 104271651283. The next prime is 104271651317. The reversal of 104271651288 is 882156172401.

104271651288 is a `hidden beast` number, since 1 + 0 + 42 + 7 + 16 + 512 + 88 = 666.

104271651288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104271651283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30125878 + ... + 30129338.

It is an arithmetic number, because the mean of its divisors is an integer number (1182195105).

Almost surely, 2104271651288 is an apocalyptic number.

104271651288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104271651288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170236095120).

104271651288 is an abundant number, since it is smaller than the sum of its proper divisors (236200538952).

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

104271651288 is a wasteful number, since it uses less digits than its factorization.

104271651288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 104271651288 in words is "one hundred four billion, two hundred seventy-one million, six hundred fifty-one thousand, two hundred eighty-eight".