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5382789859584 = 28333019257953
BaseRepresentation
bin100111001010100011101…
…0001110000100100000000
3201001120220212202210001000
41032111013101300210000
51201142423201001314
615240453003412000
71063615356611514
oct116250721604400
921046825683030
105382789859584
111795912601715
1272b279524000
13300797014467
14148757da8144
1595043284209
hex4e547470900

5382789859584 has 144 divisors (see below), whose sum is σ = 15923190875200. Its totient is φ = 1793662009344.

The previous prime is 5382789859511. The next prime is 5382789859597. The reversal of 5382789859584 is 4859589872835.

5382789859584 is a `hidden beast` number, since 5 + 3 + 8 + 27 + 8 + 9 + 8 + 5 + 9 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 20738352 + ... + 20996304.

Almost surely, 25382789859584 is an apocalyptic number.

5382789859584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382789859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7961595437600).

5382789859584 is an abundant number, since it is smaller than the sum of its proper divisors (10540401015616).

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

5382789859584 is a wasteful number, since it uses less digits than its factorization.

5382789859584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260997 (or 260977 counting only the distinct ones).

The product of its digits is 6967296000, while the sum is 81.

The spelling of 5382789859584 in words is "five trillion, three hundred eighty-two billion, seven hundred eighty-nine million, eight hundred fifty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3019 3456 6038 6912 9057 12076 18114 24152 27171 36228 48304 54342 72456 81513 96608 108684 144912 163026 193216 217368 257953 289824 326052 386432 434736 515906 579648 652104 772864 773859 869472 1031812 1159296 1304208 1547718 1738944 2063624 2318592 2321577 2608416 3095436 3477888 4127248 4643154 5216832 6190872 6955776 6964731 8254496 9286308 10433664 12381744 13929462 16508992 18572616 20867328 24763488 27858924 33017984 37145232 49526976 55717848 66035968 74290464 99053952 111435696 148580928 198107904 222871392 297161856 445742784 594323712 778760107 891485568 1557520214 1782971136 2336280321 3115040428 4672560642 6230080856 7008840963 9345121284 12460161712 14017681926 18690242568 21026522889 24920323424 28035363852 37380485136 42053045778 49840646848 56070727704 74760970272 84106091556 99681293696 112141455408 149521940544 168212183112 199362587392 224282910816 299043881088 336424366224 448565821632 598087762176 672848732448 897131643264 1345697464896 1794263286528 2691394929792 5382789859584