Search a number
-
+
49230818208 = 253211131195387
BaseRepresentation
bin101101110110011000…
…101010101110100000
311201001222110200120100
4231312120222232200
51301311042140313
634341043142400
73361662023145
oct556630525640
9151058420510
1049230818208
1119973571420
12965b374a00
1348475ba380
1425505083cc
1514320a9173
hexb7662aba0

49230818208 has 144 divisors (see below), whose sum is σ = 164475825696. Its totient is φ = 13770846720.

The previous prime is 49230818201. The next prime is 49230818233. The reversal of 49230818208 is 80281803294.

49230818208 is a `hidden beast` number, since 492 + 3 + 0 + 81 + 82 + 0 + 8 = 666.

49230818208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×492308182083 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49230818201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556510 + ... + 638877.

It is an arithmetic number, because the mean of its divisors is an integer number (1142193234).

Almost surely, 249230818208 is an apocalyptic number.

49230818208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49230818208 is an abundant number, since it is smaller than the sum of its proper divisors (115245007488).

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

49230818208 is a wasteful number, since it uses less digits than its factorization.

49230818208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195427 (or 1195416 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 49230818208 in words is "forty-nine billion, two hundred thirty million, eight hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 1195387 2390774 3586161 4781548 7172322 9563096 10758483 13149257 14344644 15540031 19126192 21516966 26298514 28689288 31080062 38252384 39447771 43033932 46620093 52597028 57378576 62160124 78895542 86067864 93240186 105194056 114757152 118343313 124320248 139860279 157791084 170940341 172135728 186480372 210388112 236686626 248640496 279720558 315582168 341880682 344271456 372960744 420776224 473373252 497280992 512821023 559441116 631164336 683761364 745921488 946746504 1025642046 1118882232 1262328672 1367522728 1491842976 1538463069 1893493008 2051284092 2237764464 2735045456 3076926138 3786986016 4102568184 4475528928 5470090912 6153852276 8205136368 12307704552 16410272736 24615409104 49230818208