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5853157704 = 2332419720441
BaseRepresentation
bin1010111001110000…
…00001100101001000
3120002220202012220200
411130320001211020
543441402021304
62404445252200
7265022006502
oct53470014510
916086665820
105853157704
112533a56019
121174264060
13723834234
143d7506d72
15243ccde39
hex15ce01948

5853157704 has 96 divisors (see below), whose sum is σ = 16407158040. Its totient is φ = 1883750400.

The previous prime is 5853157703. The next prime is 5853157729. The reversal of 5853157704 is 4077513585.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4449156804 + 1404000900 = 66702^2 + 37470^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5853157704.

It is not an unprimeable number, because it can be changed into a prime (5853157703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276124 + ... + 296564.

Almost surely, 25853157704 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 5853157704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203579020).

5853157704 is an abundant number, since it is smaller than the sum of its proper divisors (10554000336).

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

5853157704 is a wasteful number, since it uses less digits than its factorization.

5853157704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20591 (or 20584 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5853157704 is about 76505.9324758544. The cubic root of 5853157704 is about 1802.1740915313.

The spelling of 5853157704 in words is "five billion, eight hundred fifty-three million, one hundred fifty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 97 123 164 194 246 291 328 369 388 492 582 738 776 873 984 1164 1476 1746 2328 2952 3492 3977 6984 7954 11931 15908 20441 23862 31816 35793 40882 47724 61323 71586 81764 95448 122646 143172 163528 183969 245292 286344 367938 490584 735876 838081 1471752 1676162 1982777 2514243 3352324 3965554 5028486 5948331 6704648 7542729 7931108 10056972 11896662 15085458 15862216 17844993 20113944 23793324 30170916 35689986 47586648 60341832 71379972 81293857 142759944 162587714 243881571 325175428 487763142 650350856 731644713 975526284 1463289426 1951052568 2926578852 5853157704