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21357955168 = 2511173839319
BaseRepresentation
bin10011111001000010…
…001000100001100000
32001010110202112112121
4103321002020201200
5322220114031133
613451155034024
71354161423604
oct237102104140
961113675477
1021357955168
119070010920
12418089b914
132024b24bc4
1410687b1504
158500a802d
hex4f9088860

21357955168 has 96 divisors (see below), whose sum is σ = 48701399040. Its totient is φ = 9112258560.

The previous prime is 21357955159. The next prime is 21357955243. The reversal of 21357955168 is 86155975312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2287213 + ... + 2296531.

It is an arithmetic number, because the mean of its divisors is an integer number (507306240).

Almost surely, 221357955168 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 21357955168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350699520).

21357955168 is an abundant number, since it is smaller than the sum of its proper divisors (27343443872).

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

21357955168 is a wasteful number, since it uses less digits than its factorization.

21357955168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9740 (or 9732 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 52.

The spelling of 21357955168 in words is "twenty-one billion, three hundred fifty-seven million, nine hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 383 544 748 766 1496 1532 2992 3064 4213 5984 6128 6511 8426 9319 12256 13022 16852 18638 26044 33704 37276 52088 67408 71621 74552 102509 104176 134816 143242 149104 158423 205018 208352 286484 298208 316846 410036 572968 633692 820072 1145936 1267384 1640144 1742653 2291872 2534768 3280288 3485306 3569177 5069536 6970612 7138354 13941224 14276708 27882448 28553416 39260947 55764896 57106832 60676009 78521894 114213664 121352018 157043788 242704036 314087576 485408072 628175152 667436099 970816144 1256350304 1334872198 1941632288 2669744396 5339488792 10678977584 21357955168