Search a number
-
+
91327422000 = 24353103147779
BaseRepresentation
bin101010100001110001…
…0011101111000110000
322201201202122201210010
41111003202131320300
52444014310001000
6105542155334520
76412115164353
oct1250342357060
9281652581703
1091327422000
1135805a48971
1215849451440
1387c5b3b999
1445c531a29a
152597b86d50
hex154389de30

91327422000 has 160 divisors (see below), whose sum is σ = 297300257280. Its totient is φ = 24117369600.

The previous prime is 91327421953. The next prime is 91327422029. The reversal of 91327422000 is 22472319.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544111 + ... + 691889.

It is an arithmetic number, because the mean of its divisors is an integer number (1858126608).

Almost surely, 291327422000 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 91327422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148650128640).

91327422000 is an abundant number, since it is smaller than the sum of its proper divisors (205972835280).

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

91327422000 is a wasteful number, since it uses less digits than its factorization.

91327422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147908 (or 147892 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 91327422000 its reverse (22472319), we get a palindrome (91349894319).

The spelling of 91327422000 in words is "ninety-one billion, three hundred twenty-seven million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 103 120 125 150 200 206 240 250 300 309 375 400 412 500 515 600 618 750 824 1000 1030 1200 1236 1500 1545 1648 2000 2060 2472 2575 3000 3090 4120 4944 5150 6000 6180 7725 8240 10300 12360 12875 15450 20600 24720 25750 30900 38625 41200 51500 61800 77250 103000 123600 147779 154500 206000 295558 309000 443337 591116 618000 738895 886674 1182232 1477790 1773348 2216685 2364464 2955580 3546696 3694475 4433370 5911160 7093392 7388950 8866740 11083425 11822320 14777900 15221237 17733480 18472375 22166850 29555800 30442474 35466960 36944750 44333700 45663711 55417125 59111600 60884948 73889500 76106185 88667400 91327422 110834250 121769896 147779000 152212370 177334800 182654844 221668500 228318555 243539792 295558000 304424740 365309688 380530925 443337000 456637110 608849480 730619376 761061850 886674000 913274220 1141592775 1217698960 1522123700 1826548440 1902654625 2283185550 3044247400 3653096880 3805309250 4566371100 5707963875 6088494800 7610618500 9132742200 11415927750 15221237000 18265484400 22831855500 30442474000 45663711000 91327422000