Search a number
-
+
21350038016 = 2943472439
BaseRepresentation
bin10011111000100011…
…111011101000000000
32001002220212022020202
4103320203323220000
5322211102204031
613450313224332
71354034220536
oct237043735000
961086768222
1021350038016
1190665a361a
12417a1020a8
1320232b23b8
141067710156
1584e5422cb
hex4f88fba00

21350038016 has 120 divisors (see below), whose sum is σ = 44700516960. Its totient is φ = 10181670912.

The previous prime is 21350038007. The next prime is 21350038019. The reversal of 21350038016 is 61083005312.

It is a self number, because there is not a number n which added to its sum of digits gives 21350038016.

It is not an unprimeable number, because it can be changed into a prime (21350038019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48633125 + ... + 48633563.

It is an arithmetic number, because the mean of its divisors is an integer number (372504308).

Almost surely, 221350038016 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 21350038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22350258480).

21350038016 is an abundant number, since it is smaller than the sum of its proper divisors (23350478944).

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

21350038016 is an frugal number, since it uses more digits than its factorization.

21350038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 21350038016 in words is "twenty-one billion, three hundred fifty million, thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 128 172 188 256 344 376 439 512 688 752 878 1376 1504 1756 2021 2209 2752 3008 3512 4042 4418 5504 6016 7024 8084 8836 11008 12032 14048 16168 17672 18877 20633 22016 24064 28096 32336 35344 37754 41266 56192 64672 70688 75508 82532 94987 112384 129344 141376 151016 165064 189974 224768 258688 282752 302032 330128 379948 517376 565504 604064 660256 759896 887219 969751 1034752 1131008 1208128 1320512 1519792 1774438 1939502 2416256 2641024 3039584 3548876 3879004 4832512 5282048 6079168 7097752 7758008 9665024 10564096 12158336 14195504 15516016 24316672 28391008 31032032 41699293 48633344 56782016 62064064 83398586 113564032 124128128 166797172 227128064 248256256 333594344 454256128 496512512 667188688 1334377376 2668754752 5337509504 10675019008 21350038016