Search a number
-
+
2145718176 = 25373193033
BaseRepresentation
bin111111111100101…
…0000111110100000
312112112112202222120
41333321100332200
513343300440201
6552530104240
7104113206060
oct17771207640
95475482876
102145718176
11a01224908
124ba71b080
13282707334
14164d8b3a0
15c8598536
hex7fe50fa0

2145718176 has 48 divisors (see below), whose sum is σ = 6437156544. Its totient is φ = 613062144.

The previous prime is 2145718153. The next prime is 2145718217. The reversal of 2145718176 is 6718175412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1595845 + ... + 1597188.

It is an arithmetic number, because the mean of its divisors is an integer number (134107428).

Almost surely, 22145718176 is an apocalyptic number.

It is an amenable number.

2145718176 is an abundant number, since it is smaller than the sum of its proper divisors (4291438368).

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

2145718176 is a wasteful number, since it uses less digits than its factorization.

2145718176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193053 (or 3193045 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 2145718176 is about 46321.8973704662. The cubic root of 2145718176 is about 1289.8055064026.

The spelling of 2145718176 in words is "two billion, one hundred forty-five million, seven hundred eighteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3193033 6386066 9579099 12772132 19158198 22351231 25544264 38316396 44702462 51088528 67053693 76632792 89404924 102177056 134107386 153265584 178809848 268214772 306531168 357619696 536429544 715239392 1072859088 2145718176