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58339532340 = 2235545726267
BaseRepresentation
bin110110010101010011…
…101001111000110100
312120120210010022100000
4312111103221320310
51423434410013330
642444550351300
74133464562055
oct662523517064
9176523108300
1058339532340
1122818166141
12b38195b530
13566974264b
142b7613c72c
1517b6aac560
hexd954e9e34

58339532340 has 144 divisors (see below), whose sum is σ = 183926014272. Its totient is φ = 15522575616.

The previous prime is 58339532309. The next prime is 58339532359. The reversal of 58339532340 is 4323593385.

58339532340 is a `hidden beast` number, since 5 + 83 + 3 + 9 + 532 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207887 + ... + 2234153.

It is an arithmetic number, because the mean of its divisors is an integer number (1277263988).

Almost surely, 258339532340 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 58339532340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91963007136).

58339532340 is an abundant number, since it is smaller than the sum of its proper divisors (125586481932).

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

58339532340 is a wasteful number, since it uses less digits than its factorization.

58339532340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26748 (or 26734 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 58339532340 in words is "fifty-eight billion, three hundred thirty-nine million, five hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 457 486 540 810 914 972 1215 1371 1620 1828 2285 2430 2742 4113 4570 4860 5484 6855 8226 9140 12339 13710 16452 20565 24678 26267 27420 37017 41130 49356 52534 61695 74034 78801 82260 105068 111051 123390 131335 148068 157602 185085 222102 236403 246780 262670 315204 370170 394005 444204 472806 525340 555255 709209 740340 788010 945612 1110510 1182015 1418418 1576020 2127627 2221020 2364030 2836836 3546045 4255254 4728060 6382881 7092090 8510508 10638135 12004019 12765762 14184180 21276270 24008038 25531524 31914405 36012057 42552540 48016076 60020095 63828810 72024114 108036171 120040190 127657620 144048228 180060285 216072342 240080380 324108513 360120570 432144684 540180855 648217026 720241140 972325539 1080361710 1296434052 1620542565 1944651078 2160723420 2916976617 3241085130 3889302156 4861627695 5833953234 6482170260 9723255390 11667906468 14584883085 19446510780 29169766170 58339532340