Search a number
-
+
49118327505 = 355133784047
BaseRepresentation
bin101101101111101011…
…100011001011010001
311200210010210120100000
4231233223203023101
51301043242440010
634321544120213
73356124616002
oct555753431321
9150703716300
1049118327505
11199160194a5
129629766069
13482a1c2420
14253d5c51a9
1514272887c0
hexb6fae32d1

49118327505 has 96 divisors (see below), whose sum is σ = 97654362624. Its totient is φ = 23527501056.

The previous prime is 49118327471. The next prime is 49118327509. The reversal of 49118327505 is 50572381194.

49118327505 is a `hidden beast` number, since 4 + 9 + 118 + 3 + 27 + 505 = 666.

It is not a de Polignac number, because 49118327505 - 28 = 49118327249 is a prime.

It is a super-2 number, since 2×491183275052 (a number of 22 digits) contains 22 as substring.

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 a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49118327509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542392 + ... + 626438.

It is an arithmetic number, because the mean of its divisors is an integer number (1017232944).

Almost surely, 249118327505 is an apocalyptic number.

49118327505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49118327505 is a deficient number, since it is larger than the sum of its proper divisors (48536035119).

49118327505 is a wasteful number, since it uses less digits than its factorization.

49118327505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84117 (or 84105 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 49118327505 in words is "forty-nine billion, one hundred eighteen million, three hundred twenty-seven thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 81 111 117 135 185 195 243 333 351 405 481 555 585 999 1053 1215 1443 1665 1755 2405 2997 3159 4329 4995 5265 7215 8991 12987 14985 15795 21645 38961 44955 64935 84047 116883 194805 252141 420235 584415 756423 1092611 1260705 2269269 3109739 3277833 3782115 5463055 6807807 9329217 9833499 11346345 15548695 16389165 20423421 27987651 29500497 34039035 40426607 46646085 49167495 83962953 88501491 102117105 121279821 139938255 147502485 202133035 251888859 265504473 363839463 419814765 442507455 606399105 755666577 1091518389 1259444295 1327522365 1819197315 3274555167 3778332885 5457591945 9823665501 16372775835 49118327505