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21327018680 = 2351164175617
BaseRepresentation
bin10011110111001100…
…000111101010111000
32001001022112210122202
4103313030013222320
5322134204044210
613444132005332
71353334445012
oct236714075270
961038483582
1021327018680
119054600880
124172460848
13201b5b28a6
14106463b1b2
1584c4e69a5
hex4f7307ab8

21327018680 has 64 divisors (see below), whose sum is σ = 52430496480. Its totient is φ = 7743078400.

The previous prime is 21327018679. The next prime is 21327018689. The reversal of 21327018680 is 8681072312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21327018689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 244232 + ... + 319848.

Almost surely, 221327018680 is an apocalyptic number.

21327018680 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 21327018680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26215248240).

21327018680 is an abundant number, since it is smaller than the sum of its proper divisors (31103477800).

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

21327018680 is a wasteful number, since it uses less digits than its factorization.

21327018680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76280 (or 76276 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 21327018680 in words is "twenty-one billion, three hundred twenty-seven million, eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 641 1282 2564 3205 5128 6410 7051 12820 14102 25640 28204 35255 56408 70510 75617 141020 151234 282040 302468 378085 604936 756170 831787 1512340 1663574 3024680 3327148 4158935 6654296 8317870 16635740 33271480 48470497 96940994 193881988 242352485 387763976 484704970 533175467 969409940 1066350934 1938819880 2132701868 2665877335 4265403736 5331754670 10663509340 21327018680