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4671675744 = 253793311861
BaseRepresentation
bin1000101100111010…
…00001110101100000
3110001120120201100120
410112131001311200
534031422110434
62051322120240
7223524405621
oct42635016540
913046521316
104671675744
111a8804814a
12aa4650080
13595b24798
14324637a48
151c5200349
hex116741d60

4671675744 has 96 divisors (see below), whose sum is σ = 12462589440. Its totient is φ = 1532044800.

The previous prime is 4671675737. The next prime is 4671675761. The reversal of 4671675744 is 4475761764.

It is a happy number.

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

It is a congruent number.

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, 2509374 + ... + 2511234.

It is an arithmetic number, because the mean of its divisors is an integer number (129818640).

Almost surely, 24671675744 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 4671675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231294720).

4671675744 is an abundant number, since it is smaller than the sum of its proper divisors (7790913696).

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

4671675744 is a wasteful number, since it uses less digits than its factorization.

4671675744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 51.

The square root of 4671675744 is about 68349.6579654939. The cubic root of 4671675744 is about 1671.6970025490.

The spelling of 4671675744 in words is "four billion, six hundred seventy-one million, six hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 331 474 632 662 948 993 1264 1324 1861 1896 1986 2528 2648 3722 3792 3972 5296 5583 7444 7584 7944 10592 11166 14888 15888 22332 26149 29776 31776 44664 52298 59552 78447 89328 104596 147019 156894 178656 209192 294038 313788 418384 441057 588076 615991 627576 836768 882114 1176152 1231982 1255152 1764228 1847973 2352304 2463964 2510304 3528456 3695946 4704608 4927928 7056912 7391892 9855856 14113824 14783784 19711712 29567568 48663289 59135136 97326578 145989867 194653156 291979734 389306312 583959468 778612624 1167918936 1557225248 2335837872 4671675744