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5341241376 = 2532163113779
BaseRepresentation
bin1001111100101110…
…01110000000100000
3111210020111011201200
410332113032000200
541414324211001
62242001201200
7246234542202
oct47627160040
914706434650
105341241376
1122a0a9a779
121050930200
13671769273
1438952c772
15213db0086
hex13e5ce020

5341241376 has 72 divisors (see below), whose sum is σ = 15282474480. Its totient is φ = 1769475456.

The previous prime is 5341241341. The next prime is 5341241377. The reversal of 5341241376 is 6731421435.

5341241376 is a `hidden beast` number, since 5 + 3 + 41 + 241 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5341241376.

It is not an unprimeable number, because it can be changed into a prime (5341241377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9946 + ... + 103833.

It is an arithmetic number, because the mean of its divisors is an integer number (212256590).

Almost surely, 25341241376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5341241376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641237240).

5341241376 is an abundant number, since it is smaller than the sum of its proper divisors (9941233104).

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

5341241376 is a wasteful number, since it uses less digits than its factorization.

5341241376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113958 (or 113947 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5341241376 is about 73083.7969456979. The cubic root of 5341241376 is about 1748.0240419659.

The spelling of 5341241376 in words is "five billion, three hundred forty-one million, two hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 46944 113779 227558 341337 455116 682674 910232 1024011 1365348 1820464 2048022 2730696 3640928 4096044 5461392 8192088 10922784 16384176 18545977 32768352 37091954 55637931 74183908 111275862 148367816 166913793 222551724 296735632 333827586 445103448 593471264 667655172 890206896 1335310344 1780413792 2670620688 5341241376