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9893887344 = 243311317207
BaseRepresentation
bin10010011011011100…
…01011110101110000
3221112112002112221000
421031232023311300
5130230313343334
64313432202000
7500115440415
oct111556136560
927475075830
109893887344
114217929000
121b01539300
13c18a16613
1469c02010c
153cd8ec299
hex24db8bd70

9893887344 has 160 divisors (see below), whose sum is σ = 31238714880. Its totient is φ = 2997973440.

The previous prime is 9893887337. The next prime is 9893887349. The reversal of 9893887344 is 4437883989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9893887349) 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, 566389 + ... + 583595.

It is an arithmetic number, because the mean of its divisors is an integer number (195241968).

Almost surely, 29893887344 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 9893887344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619357440).

9893887344 is an abundant number, since it is smaller than the sum of its proper divisors (21344827536).

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

9893887344 is a wasteful number, since it uses less digits than its factorization.

9893887344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17257 (or 17223 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 9893887344 is about 99468.0217155242. The cubic root of 9893887344 is about 2146.7871496403.

The spelling of 9893887344 in words is "nine billion, eight hundred ninety-three million, eight hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1331 1452 1584 1936 2178 2376 2662 2904 3267 3993 4356 4752 5324 5808 6534 7986 8712 10648 11979 13068 15972 17207 17424 21296 23958 26136 31944 34414 35937 47916 51621 52272 63888 68828 71874 95832 103242 137656 143748 154863 189277 191664 206484 275312 287496 309726 378554 412968 464589 567831 574992 619452 757108 825936 929178 1135662 1238904 1514216 1703493 1858356 2082047 2271324 2477808 3028432 3406986 3716712 4164094 4542648 5110479 6246141 6813972 7433424 8328188 9085296 10220958 12492282 13627944 16656376 18738423 20441916 22902517 24984564 27255888 33312752 37476846 40883832 45805034 49969128 56215269 68707551 74953692 81767664 91610068 99938256 112430538 137415102 149907384 183220136 206122653 224861076 274830204 299814768 366440272 412245306 449722152 549660408 618367959 824490612 899444304 1099320816 1236735918 1648981224 2473471836 3297962448 4946943672 9893887344