Search a number
-
+
91226783172 = 223741103257171
BaseRepresentation
bin101010011110110001…
…0100011110111000100
322201110202021202021010
41110331202203313010
52443313024030142
6105524202322220
76406453601610
oct1247542436704
9281422252233
1091226783172
1135764160488
121581b7b9370
1387ab033495
1445b5c00340
15258de07e9c
hex153d8a3dc4

91226783172 has 96 divisors (see below), whose sum is σ = 251625314304. Its totient is φ = 25182086400.

The previous prime is 91226783159. The next prime is 91226783173. The reversal of 91226783172 is 27138762219.

It is a happy number.

It is a super-2 number, since 2×912267831722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91226783173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226147 + ... + 483317.

It is an arithmetic number, because the mean of its divisors is an integer number (2621097024).

Almost surely, 291226783172 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 91226783172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125812657152).

91226783172 is an abundant number, since it is smaller than the sum of its proper divisors (160398531132).

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

91226783172 is a wasteful number, since it uses less digits than its factorization.

91226783172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257329 (or 257327 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 91226783172 in words is "ninety-one billion, two hundred twenty-six million, seven hundred eighty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 103 123 164 206 246 287 309 412 492 574 618 721 861 1148 1236 1442 1722 2163 2884 3444 4223 4326 8446 8652 12669 16892 25338 29561 50676 59122 88683 118244 177366 257171 354732 514342 771513 1028684 1543026 1800197 3086052 3600394 5400591 7200788 10544011 10801182 21088022 21602364 26488613 31632033 42176044 52977226 63264066 73808077 79465839 105954452 126528132 147616154 158931678 185420291 221424231 295232308 317863356 370840582 442848462 556260873 741681164 885696924 1086033133 1112521746 2172066266 2225043492 3258099399 4344132532 6516198798 7602231931 13032397596 15204463862 22806695793 30408927724 45613391586 91226783172