Search a number
-
+
116251506324 = 223273179421587
BaseRepresentation
bin110110001000100100…
…0010011011010010100
3102010001202201101212100
41230101020103122110
53401040341200244
6125223305122100
711253551333262
oct1542110233224
9363052641770
10116251506324
1145335a43368
121a644489330
13ac68714b85
1458ab581432
153055d60b69
hex1b11213694

116251506324 has 144 divisors (see below), whose sum is σ = 300770608320. Its totient is φ = 37851287040.

The previous prime is 116251506263. The next prime is 116251506367. The reversal of 116251506324 is 423605152611.

116251506324 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 5 + 15 + 0 + 632 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198043159 + ... + 198043745.

It is an arithmetic number, because the mean of its divisors is an integer number (2088684780).

Almost surely, 2116251506324 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 116251506324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150385304160).

116251506324 is an abundant number, since it is smaller than the sum of its proper divisors (184519101996).

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

116251506324 is a wasteful number, since it uses less digits than its factorization.

116251506324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 116251506324 its reverse (423605152611), we get a palindrome (539856658935).

The spelling of 116251506324 in words is "one hundred sixteen billion, two hundred fifty-one million, five hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 179 219 292 358 421 438 537 587 657 716 842 876 1074 1174 1263 1314 1611 1684 1761 2148 2348 2526 2628 3222 3522 3789 5052 5283 6444 7044 7578 10566 13067 15156 21132 26134 30733 39201 42851 52268 61466 75359 78402 85702 92199 105073 117603 122932 128553 150718 156804 171404 184398 210146 226077 235206 247127 257106 276597 301436 315219 368796 385659 420292 452154 470412 494254 514212 553194 630438 678231 741381 771318 904308 945657 988508 1106388 1260876 1356462 1482762 1542636 1891314 2224143 2712924 2965524 3782628 4448286 5501207 7670329 8896572 11002414 15340658 16503621 18040271 22004828 23010987 30681316 33007242 36080542 44235733 46021974 49510863 54120813 66014484 69032961 72161084 88471466 92043948 99021726 108241626 132707199 138065922 162362439 176942932 198043452 216483252 265414398 276131844 324724878 398121597 530828796 649449756 796243194 1592486388 3229208509 6458417018 9687625527 12916834036 19375251054 29062876581 38750502108 58125753162 116251506324