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48248131113 = 3372132325303
BaseRepresentation
bin101100111011110100…
…000000111000101001
311121112111101000022000
4230323310000320221
51242303010143423
634055340521213
73325430230200
oct547364007051
9147474330260
1048248131113
11195098a3026
129426250209
13471bb32510
142499bc6237
1513c5b97843
hexb3bd00e29

48248131113 has 144 divisors (see below), whose sum is σ = 93624935040. Its totient is φ = 24338470464.

The previous prime is 48248131079. The next prime is 48248131117. The reversal of 48248131113 is 31113184284.

48248131113 is a `hidden beast` number, since 482 + 48 + 131 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 48248131113 - 28 = 48248130857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48248131117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9095620 + ... + 9100922.

It is an arithmetic number, because the mean of its divisors is an integer number (650173160).

Almost surely, 248248131113 is an apocalyptic number.

It is an amenable number.

48248131113 is a deficient number, since it is larger than the sum of its proper divisors (45376803927).

48248131113 is a wasteful number, since it uses less digits than its factorization.

48248131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5349 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 48248131113 in words is "forty-eight billion, two hundred forty-eight million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 23 27 39 49 63 69 91 117 147 161 189 207 273 299 351 441 483 529 621 637 819 897 1127 1323 1449 1587 1911 2093 2457 2691 3381 3703 4347 4761 5303 5733 6279 6877 8073 10143 11109 14283 14651 15909 17199 18837 20631 25921 30429 33327 37121 43953 47727 48139 56511 61893 68939 77763 99981 111363 121969 131859 143181 144417 185679 206817 233289 259847 334089 336973 365907 395577 433251 482573 620451 699867 779541 853783 1002267 1010919 1097721 1299753 1447719 1585597 1861353 2338623 2561349 2805287 3032757 3293163 3378011 4343157 4756791 5976481 7015869 7684047 8415861 9098271 10134033 11099179 13029471 14270373 17929443 19637009 23052141 25247583 30402099 33297537 36468731 42811119 53788329 58911027 75742749 77694253 91206297 99892611 109406193 137459063 161364987 176733081 233082759 255281117 299677833 328218579 412377189 530199243 699248277 765843351 984655737 1237131567 1786967819 2097744831 2297530053 3711394701 5360903457 6892590159 16082710371 48248131113