Search a number
-
+
116227705578264 = 23337591302884333
BaseRepresentation
bin11010011011010101011111…
…000110101010001100011000
3120020112021000122022012222000
4122123111133012222030120
5110213233320112001024
61051110134255401000
733324113615514510
oct3233253706521430
9506467018265860
10116227705578264
1134040990826865
121105185b523160
134cb12c18743c7
14209b645640840
15d685390c9cc9
hex69b55f1aa318

116227705578264 has 128 divisors (see below), whose sum is σ = 375230688192000. Its totient is φ = 32645069822592.

The previous prime is 116227705578263. The next prime is 116227705578277. The reversal of 116227705578264 is 462875507722611.

116227705578264 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 2 + 7 + 70 + 557 + 8 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116227705578263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651352959 + ... + 651531374.

It is an arithmetic number, because the mean of its divisors is an integer number (2931489751500).

Almost surely, 2116227705578264 is an apocalyptic number.

116227705578264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

116227705578264 is an abundant number, since it is smaller than the sum of its proper divisors (259002982613736).

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

116227705578264 is a wasteful number, since it uses less digits than its factorization.

116227705578264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302884414 (or 1302884404 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 116227705578264 in words is "one hundred sixteen trillion, two hundred twenty-seven billion, seven hundred five million, five hundred seventy-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 84 108 118 126 168 177 189 216 236 252 354 378 413 472 504 531 708 756 826 1062 1239 1416 1512 1593 1652 2124 2478 3186 3304 3717 4248 4956 6372 7434 9912 11151 12744 14868 22302 29736 44604 89208 1302884333 2605768666 3908652999 5211537332 7817305998 9120190331 10423074664 11725958997 15634611996 18240380662 23451917994 27360570993 31269223992 35177876991 36480761324 46903835988 54721141986 70355753982 72961522648 76870175647 82081712979 93807671976 109442283972 140711507964 153740351294 164163425958 218884567944 230610526941 246245138937 281423015928 307480702588 328326851916 461221053882 492490277874 538091229529 614961405176 656653703832 691831580823 922442107764 984980555748 1076182459058 1383663161646 1614273688587 1844884215528 1969961111496 2075494742469 2152364918116 2767326323292 3228547377174 4150989484938 4304729836232 4842821065761 5534652646584 6457094754348 8301978969876 9685642131522 12914189508696 14528463197283 16603957939752 19371284263044 29056926394566 38742568526088 58113852789132 116227705578264