Search a number
-
+
104164536040 = 23541101628861
BaseRepresentation
bin110000100000010110…
…0001010111011101000
3100221212101221200201021
41201000230022323220
53201312110123130
6115504051302224
710345202642665
oct1410054127350
9327771850637
10104164536040
11401a318a724
12182305aa974
139a9054c456
1450821a4a6c
152a99b6137a
hex1840b0aee8

104164536040 has 64 divisors (see below), whose sum is σ = 242464032720. Its totient is φ = 40247040000.

The previous prime is 104164536017. The next prime is 104164536043. The reversal of 104164536040 is 40635461401.

It can be written as a sum of positive squares in 8 ways, for example, as 76650352164 + 27514183876 = 276858^2 + 165874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104164535987 and 104164536005.

It is not an unprimeable number, because it can be changed into a prime (104164536043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148791 + ... + 480070.

Almost surely, 2104164536040 is an apocalyptic number.

104164536040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104164536040 is an abundant number, since it is smaller than the sum of its proper divisors (138299496680).

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

104164536040 is a wasteful number, since it uses less digits than its factorization.

104164536040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629014 (or 629010 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 104164536040 its reverse (40635461401), we get a palindrome (144799997441).

The spelling of 104164536040 in words is "one hundred four billion, one hundred sixty-four million, five hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 101 164 202 205 328 404 410 505 808 820 1010 1640 2020 4040 4141 8282 16564 20705 33128 41410 82820 165640 628861 1257722 2515444 3144305 5030888 6288610 12577220 25154440 25783301 51566602 63514961 103133204 127029922 128916505 206266408 254059844 257833010 317574805 508119688 515666020 635149610 1031332040 1270299220 2540598440 2604113401 5208226802 10416453604 13020567005 20832907208 26041134010 52082268020 104164536040