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8999234816 = 281113293839
BaseRepresentation
bin10000110000110010…
…10110110100000000
3212020011122111101012
420120121112310000
5121412301003231
64044552500052
7436003143125
oct103031266400
925204574335
108999234816
1138a8919350
1218b19aa628
13b05572c20
1461529674c
1537a0c9e2b
hex218656d00

8999234816 has 144 divisors (see below), whose sum is σ = 21201022080. Its totient is φ = 3758530560.

The previous prime is 8999234809. The next prime is 8999234843. The reversal of 8999234816 is 6184329998.

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, 10725725 + ... + 10726563.

It is an arithmetic number, because the mean of its divisors is an integer number (147229320).

Almost surely, 28999234816 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 8999234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600511040).

8999234816 is an abundant number, since it is smaller than the sum of its proper divisors (12201787264).

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

8999234816 is a wasteful number, since it uses less digits than its factorization.

8999234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 59.

The square root of 8999234816 is about 94864.2968455467. The cubic root of 8999234816 is about 2080.0248714975.

The spelling of 8999234816 in words is "eight billion, nine hundred ninety-nine million, two hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 293 352 416 572 586 704 832 839 1144 1172 1408 1664 1678 2288 2344 2816 3223 3328 3356 3809 4576 4688 6446 6712 7618 9152 9229 9376 10907 12892 13424 15236 18304 18458 18752 21814 25784 26848 30472 36608 36916 37504 41899 43628 51568 53696 60944 73832 75008 83798 87256 103136 107392 119977 121888 147664 167596 174512 206272 214784 239954 243776 245827 295328 335192 349024 412544 479908 487552 491654 590656 670384 698048 825088 959816 975104 983308 1181312 1340768 1396096 1919632 1966616 2362624 2681536 2704097 2792192 3195751 3839264 3933232 5363072 5408194 6391502 7678528 7866464 10726144 10816388 12783004 15357056 15732928 21632776 25566008 30714112 31465856 35153261 43265552 51132016 62931712 70306522 86531104 102264032 140613044 173062208 204528064 281226088 346124416 409056128 562452176 692248832 818112256 1124904352 2249808704 4499617408 8999234816