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58291068420 = 2235513922619
BaseRepresentation
bin110110010010011010…
…110001111000000100
312120110101221002100000
4312102122301320010
51423340003142140
642440055521300
74132335622614
oct662232617004
9176411832300
1058291068420
11227a2874512
12b369689230
13565c6a4480
142b6d924a44
1517b26d7a30
hexd926b1e04

58291068420 has 144 divisors (see below), whose sum is σ = 197470203840. Its totient is φ = 14348555136.

The previous prime is 58291068413. The next prime is 58291068427. The reversal of 58291068420 is 2486019285.

58291068420 is a `hidden beast` number, since 5 + 82 + 91 + 0 + 68 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (58291068413) and next prime (58291068427).

It is a super-3 number, since 3×582910684203 (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (58291068427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398130 + ... + 524489.

It is an arithmetic number, because the mean of its divisors is an integer number (1371320860).

Almost surely, 258291068420 is an apocalyptic number.

It is an amenable number.

58291068420 is an abundant number, since it is smaller than the sum of its proper divisors (139179135420).

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

58291068420 is a wasteful number, since it uses less digits than its factorization.

58291068420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922656 (or 922642 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 58291068420 in words is "fifty-eight billion, two hundred ninety-one million, sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 922619 1845238 2767857 3690476 4613095 5535714 8303571 9226190 11071428 11994047 13839285 16607142 18452380 23988094 24910713 27678570 33214284 35982141 41517855 47976188 49821426 55357140 59970235 71964282 74732139 83035710 99642852 107946423 119940470 124553565 143928564 149464278 166071420 179910705 215892846 224196417 239880940 249107130 298928556 323839269 359821410 373660695 431785692 448392834 498214260 539732115 647678538 719642820 747321390 896785668 971517807 1079464230 1120982085 1295357076 1494642780 1619196345 1943035614 2158928460 2241964170 2914553421 3238392690 3886071228 4483928340 4857589035 5829106842 6476785380 9715178070 11658213684 14572767105 19430356140 29145534210 58291068420