Search a number
-
+
21927180160 = 275167205157
BaseRepresentation
bin10100011010111101…
…100011011110000000
32002121010212011102201
4110122331203132000
5324401324231120
614023451322544
71404242645644
oct243275433600
962533764381
1021927180160
119332359aa6
1242bb450454
1320b5a36b22
1410c0226c24
1588504740a
hex51af63780

21927180160 has 64 divisors (see below), whose sum is σ = 52733812320. Its totient is φ = 8718309376.

The previous prime is 21927180131. The next prime is 21927180181. The reversal of 21927180160 is 6108172912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 4302 + ... + 209458.

Almost surely, 221927180160 is an apocalyptic number.

21927180160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21927180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26366906160).

21927180160 is an abundant number, since it is smaller than the sum of its proper divisors (30806632160).

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

21927180160 is a wasteful number, since it uses less digits than its factorization.

21927180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205343 (or 205331 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 21927180160 in words is "twenty-one billion, nine hundred twenty-seven million, one hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1336 1670 2672 3340 5344 6680 10688 13360 21376 26720 53440 106880 205157 410314 820628 1025785 1641256 2051570 3282512 4103140 6565024 8206280 13130048 16412560 26260096 32825120 34261219 65650240 68522438 131300480 137044876 171306095 274089752 342612190 548179504 685224380 1096359008 1370448760 2192718016 2740897520 4385436032 5481795040 10963590080 21927180160