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4163881248 = 253329166183
BaseRepresentation
bin1111100000101111…
…1100100100100000
3101202012002002021000
43320023330210200
532011423144443
61525102232000
7205120256322
oct37013744440
911665062230
104163881248
11184744767a
12982585600
13514870977
142b7013612
151958478d3
hexf82fc920

4163881248 has 96 divisors (see below), whose sum is σ = 12563510400. Its totient is φ = 1340091648.

The previous prime is 4163881207. The next prime is 4163881261. The reversal of 4163881248 is 8421883614.

4163881248 is a `hidden beast` number, since 4 + 1 + 638 + 8 + 1 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58036 + ... + 108147.

It is an arithmetic number, because the mean of its divisors is an integer number (130869900).

Almost surely, 24163881248 is an apocalyptic number.

4163881248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4163881248 is an abundant number, since it is smaller than the sum of its proper divisors (8399629152).

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

4163881248 is a wasteful number, since it uses less digits than its factorization.

4163881248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166231 (or 166217 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4163881248 is about 64528.1430695166. The cubic root of 4163881248 is about 1608.7903221239.

The spelling of 4163881248 in words is "four billion, one hundred sixty-three million, eight hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 166183 332366 498549 664732 997098 1329464 1495647 1994196 2658928 2991294 3988392 4486941 4819307 5317856 5982588 7976784 8973882 9638614 11965176 14457921 15953568 17947764 19277228 23930352 28915842 35895528 38554456 43373763 47860704 57831684 71791056 77108912 86747526 115663368 130121289 143582112 154217824 173495052 231326736 260242578 346990104 462653472 520485156 693980208 1040970312 1387960416 2081940624 4163881248