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5056110048 = 2531135913337
BaseRepresentation
bin1001011010101111…
…00001110111100000
3111001100222000002010
410231113201313200
540323331010143
62153413552520
7236203140423
oct45527416740
914040860063
105056110048
112165051350
12b91345740
136276760c2
1435d7099ba
151e8d3ba33
hex12d5e1de0

5056110048 has 96 divisors (see below), whose sum is σ = 14520280320. Its totient is φ = 1527772160.

The previous prime is 5056110011. The next prime is 5056110049. The reversal of 5056110048 is 8400116505.

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

It is a junction number, because it is equal to n+sod(n) for n = 5056109997 and 5056110024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5056110049) 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 15 ways as a sum of consecutive naturals, for example, 372436 + ... + 385772.

It is an arithmetic number, because the mean of its divisors is an integer number (151252920).

Almost surely, 25056110048 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 5056110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260140160).

5056110048 is an abundant number, since it is smaller than the sum of its proper divisors (9464170272).

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

5056110048 is a wasteful number, since it uses less digits than its factorization.

5056110048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5056110048 is about 71106.3291697722. The cubic root of 5056110048 is about 1716.3486232098.

The spelling of 5056110048 in words is "five billion, fifty-six million, one hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 359 528 718 1056 1077 1436 2154 2872 3949 4308 5744 7898 8616 11488 11847 13337 15796 17232 23694 26674 31592 34464 40011 47388 53348 63184 80022 94776 106696 126368 146707 160044 189552 213392 293414 320088 379104 426784 440121 586828 640176 880242 1173656 1280352 1760484 2347312 3520968 4694624 4787983 7041936 9575966 14083872 14363949 19151932 28727898 38303864 52667813 57455796 76607728 105335626 114911592 153215456 158003439 210671252 229823184 316006878 421342504 459646368 632013756 842685008 1264027512 1685370016 2528055024 5056110048