Search a number
-
+
104686465184 = 2572055122741
BaseRepresentation
bin110000101111111001…
…1001011000010100000
3101000012210001102220022
41201133303023002200
53203344213341214
6120031534133012
710364141162210
oct1413763130240
9330183042808
10104686465184
1140440864824
1218357351168
139b44711a72
1450d1628240
152aca8abd8e
hex185fccb0a0

104686465184 has 48 divisors (see below), whose sum is σ = 235566366336. Its totient is φ = 44861472000.

The previous prime is 104686465159. The next prime is 104686465201. The reversal of 104686465184 is 481564686401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4592054 + ... + 4614794.

It is an arithmetic number, because the mean of its divisors is an integer number (4907632632).

Almost surely, 2104686465184 is an apocalyptic number.

104686465184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104686465184 is an abundant number, since it is smaller than the sum of its proper divisors (130879901152).

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

104686465184 is a wasteful number, since it uses less digits than its factorization.

104686465184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43309 (or 43301 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 104686465184 in words is "one hundred four billion, six hundred eighty-six million, four hundred sixty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 20551 22741 41102 45482 82204 90964 143857 159187 164408 181928 287714 318374 328816 363856 575428 636748 657632 727712 1150856 1273496 2301712 2546992 4603424 5093984 467350291 934700582 1869401164 3271452037 3738802328 6542904074 7477604656 13085808148 14955209312 26171616296 52343232592 104686465184