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21701331384 = 23319592633067
BaseRepresentation
bin10100001101100000…
…000000100110111000
32002000101212212011020
4110031200000212320
5323421020101014
613545222502440
71365531162465
oct241540004670
962011785136
1021701331384
119226921517
124257894a20
13207accc1b5
14109c23666c
158702d41a9
hex50d8009b8

21701331384 has 128 divisors (see below), whose sum is σ = 58316544000. Its totient is φ = 6709094784.

The previous prime is 21701331361. The next prime is 21701331389. The reversal of 21701331384 is 48313310712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21701331389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7074219 + ... + 7077285.

It is an arithmetic number, because the mean of its divisors is an integer number (455598000).

Almost surely, 221701331384 is an apocalyptic number.

21701331384 is a gapful number since it is divisible by the number (24) 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 21701331384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29158272000).

21701331384 is an abundant number, since it is smaller than the sum of its proper divisors (36615212616).

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

21701331384 is a wasteful number, since it uses less digits than its factorization.

21701331384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 21701331384 in words is "twenty-one billion, seven hundred one million, three hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 263 354 456 472 526 708 789 1052 1121 1416 1578 2104 2242 3067 3156 3363 4484 4997 6134 6312 6726 8968 9201 9994 12268 13452 14991 15517 18402 19988 24536 26904 29982 31034 36804 39976 46551 58273 59964 62068 73608 93102 116546 119928 124136 174819 180953 186204 233092 294823 349638 361906 372408 466184 542859 589646 699276 723812 806621 884469 1085718 1179292 1398552 1447624 1613242 1768938 2171436 2358584 2419863 3226484 3438107 3537876 4342872 4839726 6452968 6876214 7075752 9679452 10314321 13752428 15325799 19358904 20628642 27504856 30651598 41257284 45977397 47590639 61303196 82514568 91954794 95181278 122606392 142771917 183909588 190362556 285543834 367819176 380725112 571087668 904222141 1142175336 1808444282 2712666423 3616888564 5425332846 7233777128 10850665692 21701331384