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2672106016 = 25717316111
BaseRepresentation
bin1001111101000101…
…0001101000100000
320220020001001100111
42133101101220200
520433024343031
61121052301104
7123134345356
oct23721215040
96806031314
102672106016
111151374888
12626a71794
1333779b228
141b4c517d6
151098c51b1
hex9f451a20

2672106016 has 48 divisors (see below), whose sum is σ = 5408218368. Its totient is φ = 1299110400.

The previous prime is 2672106013. The next prime is 2672106049. The reversal of 2672106016 is 6106012762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2672106013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157801 + ... + 173911.

It is an arithmetic number, because the mean of its divisors is an integer number (112671216).

Almost surely, 22672106016 is an apocalyptic number.

It is an amenable number.

2672106016 is an abundant number, since it is smaller than the sum of its proper divisors (2736112352).

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

2672106016 is a wasteful number, since it uses less digits than its factorization.

2672106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16265 (or 16257 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2672106016 is about 51692.4173936565. The cubic root of 2672106016 is about 1387.6647669060.

Adding to 2672106016 its reverse (6106012762), we get a palindrome (8778118778).

The spelling of 2672106016 in words is "two billion, six hundred seventy-two million, one hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 71 73 142 146 284 292 568 584 1136 1168 2272 2336 5183 10366 16111 20732 32222 41464 64444 82928 128888 165856 257776 515552 1143881 1176103 2287762 2352206 4575524 4704412 9151048 9408824 18302096 18817648 36604192 37635296 83503313 167006626 334013252 668026504 1336053008 2672106016