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21924642912 = 2532355717827
BaseRepresentation
bin10100011010110011…
…111000000001100000
32002120222002020222120
4110122303320001200
5324400202033122
614023321104240
71404212250504
oct243263700140
962528066876
1021924642912
1193309867a7
1242ba628080
1320b5358cb3
1410bdb66304
15884be575c
hex51acf8060

21924642912 has 96 divisors (see below), whose sum is σ = 60165649152. Its totient is φ = 6977524224.

The previous prime is 21924642911. The next prime is 21924642919.

21924642912 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21924642911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220943 + ... + 1238769.

It is an arithmetic number, because the mean of its divisors is an integer number (626725512).

Almost surely, 221924642912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21924642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30082824576).

21924642912 is an abundant number, since it is smaller than the sum of its proper divisors (38241006240).

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

21924642912 is a wasteful number, since it uses less digits than its factorization.

21924642912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18420 (or 18412 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 21924642912 in words is "twenty-one billion, nine hundred twenty-four million, six hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 557 736 1104 1114 1671 2208 2228 3342 4456 6684 8912 12811 13368 17824 17827 25622 26736 35654 38433 51244 53472 53481 71308 76866 102488 106962 142616 153732 204976 213924 285232 307464 409952 410021 427848 570464 614928 820042 855696 1229856 1230063 1640084 1711392 2460126 3280168 4920252 6560336 9840504 9929639 13120672 19681008 19859278 29788917 39362016 39718556 59577834 79437112 119155668 158874224 228381697 238311336 317748448 456763394 476622672 685145091 913526788 953245344 1370290182 1827053576 2740580364 3654107152 5481160728 7308214304 10962321456 21924642912