Search a number
-
+
92317389312 = 2933710611531
BaseRepresentation
bin101010111111010001…
…0111001001000000000
322211021202110021122010
41111332202321020000
53003031222424222
6110224322012520
76445465601421
oct1257642711000
9284252407563
1092317389312
1136173839a75
1215a84aa7140
138922c75465
14467a9b5648
152604a3580c
hex157e8b9200

92317389312 has 160 divisors (see below), whose sum is σ = 252989504064. Its totient is φ = 29893017600.

The previous prime is 92317389277. The next prime is 92317389317. The reversal of 92317389312 is 21398371329.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (92317389317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60297987 + ... + 60299517.

Almost surely, 292317389312 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 92317389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126494752032).

92317389312 is an abundant number, since it is smaller than the sum of its proper divisors (160672114752).

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

92317389312 is a wasteful number, since it uses less digits than its factorization.

92317389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2634 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The spelling of 92317389312 in words is "ninety-two billion, three hundred seventeen million, three hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1061 1184 1531 1536 1776 2122 2368 3062 3183 3552 4244 4593 4736 6124 6366 7104 8488 9186 9472 12248 12732 14208 16976 18372 18944 24496 25464 28416 33952 36744 39257 48992 50928 56647 56832 67904 73488 78514 97984 101856 113294 117771 135808 146976 157028 169941 195968 203712 226588 235542 271616 293952 314056 339882 391936 407424 453176 471084 543232 587904 628112 679764 783872 814848 906352 942168 1175808 1256224 1359528 1624391 1629696 1812704 1884336 2351616 2512448 2719056 3248782 3625408 3768672 4873173 5024896 5438112 6497564 7250816 7537344 9746346 10049792 10876224 12995128 14501632 15074688 19492692 20099584 21752448 25990256 29003264 30149376 38985384 43504896 51980512 60102467 60298752 77970768 87009792 103961024 120204934 155941536 180307401 207922048 240409868 311883072 360614802 415844096 480819736 623766144 721229604 831688192 961639472 1247532288 1442459208 1923278944 2495064576 2884918416 3846557888 5769836832 7693115776 11539673664 15386231552 23079347328 30772463104 46158694656 92317389312