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21271044160 = 265192184133
BaseRepresentation
bin10011110011110110…
…100110000001000000
32000220102020000001101
4103303312212001000
5322030341403120
613434412144144
71352054615002
oct236366460100
960812200041
1021271044160
119025a4a343
124157768054
13200cb14c82
14105b02a372
1584763b90a
hex4f3da6040

21271044160 has 84 divisors (see below), whose sum is σ = 53458151148. Its totient is φ = 8060562432.

The previous prime is 21271044139. The next prime is 21271044163. The reversal of 21271044160 is 6144017212.

It can be written as a sum of positive squares in 2 ways, for example, as 12617579584 + 8653464576 = 112328^2 + 93024^2 .

It is not an unprimeable number, because it can be changed into a prime (21271044163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23454 + ... + 207586.

Almost surely, 221271044160 is an apocalyptic number.

21271044160 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 21271044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26729075574).

21271044160 is an abundant number, since it is smaller than the sum of its proper divisors (32187106988).

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

21271044160 is a wasteful number, since it uses less digits than its factorization.

21271044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184188 (or 184159 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 21271044160 in words is "twenty-one billion, two hundred seventy-one million, forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 7220 11552 14440 23104 28880 57760 115520 184133 368266 736532 920665 1473064 1841330 2946128 3498527 3682660 5892256 6997054 7365320 11784512 13994108 14730640 17492635 27988216 29461280 34985270 55976432 58922560 66472013 69970540 111952864 132944026 139941080 223905728 265888052 279882160 332360065 531776104 559764320 664720130 1063552208 1119528640 1329440260 2127104416 2658880520 4254208832 5317761040 10635522080 21271044160