Search a number
-
+
3776006465 = 571125316823
BaseRepresentation
bin1110000100010001…
…0100100101000001
3100202011020000002022
43201010110211001
530213124201330
61422404531225
7162400345130
oct34104244501
910664200068
103776006465
111668503600
128946b0b15
134823b636a
1427b6c7917
1517177bae5
hexe1114941

3776006465 has 48 divisors (see below), whose sum is σ = 5799838464. Its totient is φ = 2309324160.

The previous prime is 3776006411. The next prime is 3776006497. The reversal of 3776006465 is 5646006773.

It is not a de Polignac number, because 3776006465 - 214 = 3775990081 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216044 + ... + 232866.

It is an arithmetic number, because the mean of its divisors is an integer number (120829968).

Almost surely, 23776006465 is an apocalyptic number.

3776006465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3776006465 is a deficient number, since it is larger than the sum of its proper divisors (2023831999).

3776006465 is a wasteful number, since it uses less digits than its factorization.

3776006465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The square root of 3776006465 is about 61449.2185873832. The cubic root of 3776006465 is about 1557.1994550572.

The spelling of 3776006465 in words is "three billion, seven hundred seventy-six million, six thousand, four hundred sixty-five".

Divisors: 1 5 7 11 35 53 55 77 121 265 371 385 583 605 847 1855 2915 4081 4235 6413 16823 20405 32065 44891 84115 117761 185053 224455 588805 891619 925265 1295371 2035583 4458095 6241333 6476855 9807809 10177915 14249081 31206665 49039045 68654663 71245405 107885899 343273315 539429495 755201293 3776006465