Search a number
-
+
3672086144 = 2728688173
BaseRepresentation
bin1101101011011111…
…1001011010000000
3100110220200022012112
43122313321122000
530010023224034
61404213314452
7156666134336
oct33267713200
910426608175
103672086144
111614884741
12865935a28
134669cc34c
1426b995b56
151675a07ce
hexdadf9680

3672086144 has 16 divisors (see below), whose sum is σ = 7315484370. Its totient is φ = 1836043008.

The previous prime is 3672086087. The next prime is 3672086149. The reversal of 3672086144 is 4416802763.

It can be written as a sum of positive squares in only one way, i.e., 2369742400 + 1302343744 = 48680^2 + 36088^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (3672086149) by changing a digit.

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 as a sum of consecutive naturals, namely, 14343959 + ... + 14344214.

Almost surely, 23672086144 is an apocalyptic number.

It is an amenable number.

3672086144 is a deficient number, since it is larger than the sum of its proper divisors (3643398226).

3672086144 is an equidigital number, since it uses as much as digits as its factorization.

3672086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28688187 (or 28688175 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 3672086144 is about 60597.7404199199. The cubic root of 3672086144 is about 1542.7810185970.

The spelling of 3672086144 in words is "three billion, six hundred seventy-two million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 28688173 57376346 114752692 229505384 459010768 918021536 1836043072 3672086144