Search a number
-
+
21271006032 = 243443145959
BaseRepresentation
bin10011110011110110…
…011100101101010000
32000220102011001202020
4103303312130231100
5322030334143112
613434411251440
71352054365563
oct236366345520
960812131666
1021271006032
119025a23731
124157749b80
13200cb00803
14105b01a4da
1584763048c
hex4f3d9cb50

21271006032 has 20 divisors (see below), whose sum is σ = 54950099040. Its totient is φ = 7090335328.

The previous prime is 21271005997. The next prime is 21271006051. The reversal of 21271006032 is 23060017212.

It is a super-2 number, since 2×212710060322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21271005993 and 21271006011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221572932 + ... + 221573027.

It is an arithmetic number, because the mean of its divisors is an integer number (2747504952).

Almost surely, 221271006032 is an apocalyptic number.

It is an amenable number.

21271006032 is an abundant number, since it is smaller than the sum of its proper divisors (33679093008).

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

21271006032 is a wasteful number, since it uses less digits than its factorization.

21271006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443145970 (or 443145964 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 21271006032 in words is "twenty-one billion, two hundred seventy-one million, six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 443145959 886291918 1329437877 1772583836 2658875754 3545167672 5317751508 7090335344 10635503016 21271006032