Search a number
-
+
104987734668 = 223223487260363
BaseRepresentation
bin110000111000111000…
…0011011001010001100
3101000222202221111221100
41201301300123022030
53210003330002133
6120121455303100
710404460006665
oct1416160331214
9330882844840
10104987734668
1140585925a73
121842021aa90
139b91c6562b
14511d64c36c
152ae706be13
hex1871c1b28c

104987734668 has 72 divisors (see below), whose sum is σ = 277493868288. Its totient is φ = 33405486048.

The previous prime is 104987734667. The next prime is 104987734699. The reversal of 104987734668 is 866437789401.

104987734668 is a `hidden beast` number, since 10 + 4 + 98 + 7 + 73 + 466 + 8 = 666.

It is a super-2 number, since 2×1049877346682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104987734667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273055 + ... + 533417.

It is an arithmetic number, because the mean of its divisors is an integer number (3854081504).

Almost surely, 2104987734668 is an apocalyptic number.

104987734668 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 104987734668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138746934144).

104987734668 is an abundant number, since it is smaller than the sum of its proper divisors (172506133620).

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

104987734668 is a wasteful number, since it uses less digits than its factorization.

104987734668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260883 (or 260878 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 104987734668 in words is "one hundred four billion, nine hundred eighty-seven million, seven hundred thirty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 487 828 974 1461 1948 2922 4383 5844 8766 11201 17532 22402 33603 44804 67206 100809 134412 201618 260363 403236 520726 781089 1041452 1562178 2343267 3124356 4686534 5988349 9373068 11976698 17965047 23953396 35930094 53895141 71860188 107790282 126796781 215580564 253593562 380390343 507187124 760780686 1141171029 1521561372 2282342058 2916325963 4564684116 5832651926 8748977889 11665303852 17497955778 26246933667 34995911556 52493867334 104987734668