Search a number
-
+
21096309936 = 24313172697393
BaseRepresentation
bin10011101001011100…
…000010010010110000
32000110020102120202110
4103221130002102300
5321201123404221
613405211045320
71344533450532
oct235134022260
960406376673
1021096309936
118a46353999
124109140840
131cb2865b40
141041b43852
15837123776
hex4e97024b0

21096309936 has 160 divisors (see below), whose sum is σ = 62382882240. Its totient is φ = 6085804032.

The previous prime is 21096309917. The next prime is 21096309959. The reversal of 21096309936 is 63990369012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849856 + ... + 2857248.

It is an arithmetic number, because the mean of its divisors is an integer number (389893014).

Almost surely, 221096309936 is an apocalyptic number.

21096309936 is a gapful number since it is divisible by the number (26) 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 21096309936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31191441120).

21096309936 is an abundant number, since it is smaller than the sum of its proper divisors (41286572304).

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

21096309936 is a wasteful number, since it uses less digits than its factorization.

21096309936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The spelling of 21096309936 in words is "twenty-one billion, ninety-six million, three hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 269 272 312 408 442 538 624 663 807 816 884 1076 1326 1614 1768 2152 2652 3228 3497 3536 4304 4573 5304 6456 6994 7393 9146 10491 10608 12912 13719 13988 14786 18292 20982 22179 27438 27976 29572 36584 41964 44358 54876 55952 59144 59449 73168 83928 88716 96109 109752 118288 118898 125681 167856 177432 178347 192218 219504 237796 251362 288327 354864 356694 377043 384436 475592 502724 576654 713388 754086 768872 951184 1005448 1153308 1426776 1508172 1537744 1633853 1988717 2010896 2306616 2853552 3016344 3267706 3977434 4613232 4901559 5966151 6032688 6535412 7954868 9803118 11932302 13070824 15909736 19606236 23864604 25853321 26141648 31819472 33808189 39212472 47729208 51706642 67616378 77559963 78424944 95458416 101424567 103413284 135232756 155119926 202849134 206826568 270465512 310239852 405698268 413653136 439506457 540931024 620479704 811396536 879012914 1240959408 1318519371 1622793072 1758025828 2637038742 3516051656 5274077484 7032103312 10548154968 21096309936