Search a number
-
+
21121466432 = 2611191579057
BaseRepresentation
bin10011101010111100…
…000000000001000000
32000111222202122222112
4103222330000001000
5321224043411212
613411510154452
71345260334223
oct235274000100
960458678875
1021121466432
118a59576390
124115652a28
131cb7b33341
1410452115ba
15839442422
hex4eaf00040

21121466432 has 56 divisors (see below), whose sum is σ = 48129687840. Its totient is φ = 9095362560.

The previous prime is 21121466419. The next prime is 21121466447. The reversal of 21121466432 is 23466412112.

It is a super-2 number, since 2×211214664322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776153 + ... + 802904.

Almost surely, 221121466432 is an apocalyptic number.

21121466432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121466432 is an abundant number, since it is smaller than the sum of its proper divisors (27008221408).

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

21121466432 is a wasteful number, since it uses less digits than its factorization.

21121466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579099 (or 1579089 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

Adding to 21121466432 its reverse (23466412112), we get a palindrome (44587878544).

The spelling of 21121466432 in words is "twenty-one billion, one hundred twenty-one million, four hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 13376 1579057 3158114 6316228 12632456 17369627 25264912 30002083 34739254 50529824 60004166 69478508 101059648 120008332 138957016 240016664 277914032 330022913 480033328 555828064 660045826 960066656 1111656128 1320091652 1920133312 2640183304 5280366608 10560733216 21121466432