Search a number
-
+
90671806368 = 253211132201627
BaseRepresentation
bin101010001110001110…
…1011111011110100000
322200001002000000012200
41110130131133132200
52441143440300433
6105353135253200
76356634431463
oct1243435373640
9280032000180
1090671806368
11354a9964170
12156a597a200
13872006c940
1445622172da
15255a330613
hex151c75f7a0

90671806368 has 144 divisors (see below), whose sum is σ = 302926399776. Its totient is φ = 25362731520.

The previous prime is 90671806367. The next prime is 90671806387. The reversal of 90671806368 is 86360817609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (90671806363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059630 + ... + 1141997.

It is an arithmetic number, because the mean of its divisors is an integer number (2103655554).

Almost surely, 290671806368 is an apocalyptic number.

It is an amenable number.

90671806368 is an abundant number, since it is smaller than the sum of its proper divisors (212254593408).

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

90671806368 is a wasteful number, since it uses less digits than its factorization.

90671806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201667 (or 2201656 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 90671806368 in words is "ninety billion, six hundred seventy-one million, eight hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 2201627 4403254 6604881 8806508 13209762 17613016 19814643 24217897 26419524 28621151 35226032 39629286 48435794 52839048 57242302 70452064 72653691 79258572 85863453 96871588 105678096 114484604 145307382 158517144 171726906 193743176 211356192 217961073 228969208 257590359 290614764 314832661 317034288 343453812 387486352 435922146 457938416 515180718 581229528 629665322 634068576 686907624 774972704 871844292 915876832 944497983 1030361436 1162459056 1259330644 1373815248 1743688584 1888995966 2060722872 2324918112 2518661288 2747630496 2833493949 3487377168 3777991932 4121445744 5037322576 5666987898 6974754336 7555983864 8242891488 10074645152 11333975796 15111967728 22667951592 30223935456 45335903184 90671806368