Search a number
-
+
285910109232 = 243111516775297
BaseRepresentation
bin1000010100100011001…
…00100000110000110000
31000022222120022102012220
410022101210200300300
514141020441443412
6335202325521040
726441055554526
oct4122144406060
91008876272186
10285910109232
11100287891880
12474b2873180
1320c65a08737
14dba3b4a316
15768572168c
hex4291920c30

285910109232 has 160 divisors (see below), whose sum is σ = 812434143744. Its totient is φ = 85922304000.

The previous prime is 285910109179. The next prime is 285910109249. The reversal of 285910109232 is 232901019582.

It is a super-2 number, since 2×2859101092322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53973208 + ... + 53978504.

Almost surely, 2285910109232 is an apocalyptic number.

285910109232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285910109232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406217071872).

285910109232 is an abundant number, since it is smaller than the sum of its proper divisors (526524034512).

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

285910109232 is a wasteful number, since it uses less digits than its factorization.

285910109232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 285910109232 in words is "two hundred eighty-five billion, nine hundred ten million, one hundred nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 151 176 264 302 453 528 604 677 906 1208 1354 1661 1812 2031 2416 2708 3322 3624 4062 4983 5297 5416 6644 7248 7447 8124 9966 10594 10832 13288 14894 15891 16248 19932 21188 22341 26576 29788 31782 32496 39864 42376 44682 58267 59576 63564 79728 84752 89364 102227 116534 119152 127128 174801 178728 204454 233068 254256 306681 349602 357456 408908 466136 613362 699204 799847 817816 932272 1124497 1226724 1398408 1599694 1635632 2248994 2399541 2453448 2796816 3199388 3373491 3586069 4497988 4799082 4906896 6398776 6746982 7172138 8798317 8995976 9598164 10758207 12797552 13493964 14344276 17596634 17991952 19196328 21516414 26394951 26987928 28688552 35193268 38392656 39446759 43032828 52789902 53975856 57377104 70386536 78893518 86065656 105579804 118340277 140773072 157787036 172131312 211159608 236680554 315574072 422319216 473361108 541496419 631148144 946722216 1082992838 1624489257 1893444432 2165985676 3248978514 4331971352 5956460609 6497957028 8663942704 11912921218 12995914056 17869381827 23825842436 25991828112 35738763654 47651684872 71477527308 95303369744 142955054616 285910109232