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5828144832 = 263331108799
BaseRepresentation
bin1010110110110001…
…00110111011000000
3120001011200102201000
411123120212323000
543414001113312
62402153212000
7264266261616
oct53330467300
916034612630
105828144832
112520921524
121167a01000
1371b5b7213
143d40756b6
152419dcadc
hex15b626ec0

5828144832 has 112 divisors (see below), whose sum is σ = 17686528000. Its totient is φ = 1880029440.

The previous prime is 5828144789. The next prime is 5828144909. The reversal of 5828144832 is 2384418285.

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, 832 + ... + 107967.

Almost surely, 25828144832 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 5828144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843264000).

5828144832 is an abundant number, since it is smaller than the sum of its proper divisors (11858383168).

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

5828144832 is a wasteful number, since it uses less digits than its factorization.

5828144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108851 (or 108835 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 5828144832 is about 76342.2873118169. The cubic root of 5828144832 is about 1799.6032903517.

The spelling of 5828144832 in words is "five billion, eight hundred twenty-eight million, one hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 108799 217598 326397 435196 652794 870392 979191 1305588 1740784 1958382 2611176 2937573 3372769 3481568 3916764 5222352 5875146 6745538 6963136 7833528 10118307 10444704 11750292 13491076 15667056 20236614 20889408 23500584 26982152 30354921 31334112 40473228 47001168 53964304 60709842 62668224 80946456 91064763 94002336 107928608 121419684 161892912 182129526 188004672 215857216 242839368 323785824 364259052 485678736 647571648 728518104 971357472 1457036208 1942714944 2914072416 5828144832