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2672280144 = 243218557501
BaseRepresentation
bin1001111101000111…
…1100001001010000
320220020100220012200
42133101330021100
520433100431034
61121100123200
7123136002132
oct23721741120
96806326180
102672280144
111151483696
12626b36500
1333782c571
141b4c99052
1510990ba99
hex9f47c250

2672280144 has 30 divisors (see below), whose sum is σ = 7478673306. Its totient is φ = 890760000.

The previous prime is 2672280113. The next prime is 2672280173. The reversal of 2672280144 is 4410822762.

It can be written as a sum of positive squares in only one way, i.e., 1839380544 + 832899600 = 42888^2 + 28860^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2672280099 and 2672280108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9278607 + ... + 9278894.

Almost surely, 22672280144 is an apocalyptic number.

2672280144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2672280144 is an abundant number, since it is smaller than the sum of its proper divisors (4806393162).

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

2672280144 is a wasteful number, since it uses less digits than its factorization.

2672280144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18557515 (or 18557506 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2672280144 is about 51694.1016364537. The cubic root of 2672280144 is about 1387.6949086794.

The spelling of 2672280144 in words is "two billion, six hundred seventy-two million, two hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18557501 37115002 55672503 74230004 111345006 148460008 167017509 222690012 296920016 334035018 445380024 668070036 890760048 1336140072 2672280144