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5886345120 = 253533137049
BaseRepresentation
bin1010111101101101…
…00111111110100000
3120012020012022111020
411132312213332200
544023401020440
62412032445440
7265604052015
oct53666477640
916166168436
105886345120
112550763237
1211833a9880
1372a683c66
143dbaa570c
15246b873d0
hex15eda7fa0

5886345120 has 96 divisors (see below), whose sum is σ = 18598507200. Its totient is φ = 1564907520.

The previous prime is 5886345089. The next prime is 5886345139. The reversal of 5886345120 is 215436885.

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

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, 140356 + ... + 177404.

It is an arithmetic number, because the mean of its divisors is an integer number (193734450).

Almost surely, 25886345120 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 5886345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299253600).

5886345120 is an abundant number, since it is smaller than the sum of its proper divisors (12712162080).

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

5886345120 is a wasteful number, since it uses less digits than its factorization.

5886345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37398 (or 37390 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5886345120 is about 76722.5202922845. The cubic root of 5886345120 is about 1805.5737844285.

The spelling of 5886345120 in words is "five billion, eight hundred eighty-six million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 480 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 10592 13240 15888 19860 26480 31776 37049 39720 52960 74098 79440 111147 148196 158880 185245 222294 296392 370490 444588 555735 592784 740980 889176 1111470 1185568 1481960 1778352 2222940 2963920 3556704 4445880 5927840 8891760 12263219 17783520 24526438 36789657 49052876 61316095 73579314 98105752 122632190 147158628 183948285 196211504 245264380 294317256 367896570 392423008 490528760 588634512 735793140 981057520 1177269024 1471586280 1962115040 2943172560 5886345120