Search a number
-
+
48317866053051 = 373112715110933541
BaseRepresentation
bin10101111110001111000010…
…01111100000110110111011
320100002010212011100222021110
422333013201033200312323
522313114442202144201
6250432530553011403
713114564522660560
oct1277074117406673
9210063764328243
1048317866053051
1114439545819701
1255043ab6b3b63
1320c648054c93a
14bd08509ba867
1558bcd2a8b6d6
hex2bf1e13e0dbb

48317866053051 has 128 divisors (see below), whose sum is σ = 77200372006912. Its totient is φ = 26302086720000.

The previous prime is 48317866053049. The next prime is 48317866053059. The reversal of 48317866053051 is 15035066871384.

It is not a de Polignac number, because 48317866053051 - 21 = 48317866053049 is a prime.

It is a super-2 number, since 2×483178660530512 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 48317866052982 and 48317866053000.

It is not an unprimeable number, because it can be changed into a prime (48317866053059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13645258341 + ... + 13645261881.

It is an arithmetic number, because the mean of its divisors is an integer number (603127906304).

Almost surely, 248317866053051 is an apocalyptic number.

48317866053051 is a deficient number, since it is larger than the sum of its proper divisors (28882505953861).

48317866053051 is a wasteful number, since it uses less digits than its factorization.

48317866053051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953.

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 48317866053051 in words is "forty-eight trillion, three hundred seventeen billion, eight hundred sixty-six million, fifty-three thousand, fifty-one".

Divisors: 1 3 7 21 31 93 127 151 217 381 453 651 889 1057 1093 2667 3171 3279 3541 3937 4681 7651 10623 11811 14043 19177 22953 24787 27559 32767 33883 57531 74361 82677 98301 101649 109771 134239 138811 165043 237181 329313 402717 416433 449707 495129 534691 594487 711543 768397 971677 1155301 1349121 1604073 1783461 2305191 2915031 3147949 3465903 3742837 3870313 4161409 4303141 5116333 9443847 11228511 11610939 12484227 12909423 13940917 15348999 16575421 20960461 27092191 30121987 35814331 41822751 49726263 62881383 67905757 81276573 90365961 97586419 107442993 116027947 119979703 146723227 203717271 292759257 348083841 359939109 440169681 475340299 491529751 584417263 649774291 839857921 1426020897 1474589253 1753251789 1949322873 2105078467 2519573763 3440708257 4090920841 4548420037 6315235401 10322124771 12272762523 13645260111 14735549269 15237422281 18116935153 44206647807 45712266843 54350805459 74220992401 106661955967 126818546071 222662977203 319985867901 380455638213 519546946807 1558640840421 2300850764431 6902552293293 16105955351017 48317866053051