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145267123482 = 232132193597001
BaseRepresentation
bin1000011101001010011…
…0000110010100011010
3111212221220201110211200
42013102212012110122
54340001340422412
6150422414335030
713331566114305
oct2072246062432
9455856643750
10145267123482
115667555aa58
12241a17ba476
1310910b7a300
147060d85b3c
153ba33409dc
hex21d298651a

145267123482 has 144 divisors (see below), whose sum is σ = 359807572800. Its totient is φ = 42221088000.

The previous prime is 145267123459. The next prime is 145267123513. The reversal of 145267123482 is 284321762541.

145267123482 is a `hidden beast` number, since 1 + 4 + 526 + 7 + 12 + 34 + 82 = 666.

It is a super-2 number, since 2×1452671234822 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20745982 + ... + 20752982.

It is an arithmetic number, because the mean of its divisors is an integer number (2498663700).

Almost surely, 2145267123482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145267123482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179903786400).

145267123482 is an abundant number, since it is smaller than the sum of its proper divisors (214540449318).

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

145267123482 is a wasteful number, since it uses less digits than its factorization.

145267123482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7397 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 145267123482 in words is "one hundred forty-five billion, two hundred sixty-seven million, one hundred twenty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 359 494 507 718 741 1014 1077 1482 1521 2154 2223 3042 3211 3231 4446 4667 6422 6462 6821 7001 9334 9633 13642 14001 14002 19266 20463 21003 28002 28899 40926 42003 42006 57798 60671 61389 63009 84006 88673 91013 121342 122778 126018 133019 177346 182013 182026 266019 266038 273039 364026 399057 532038 546039 546078 798057 798114 819117 1092078 1152749 1183169 1197171 1596114 1638234 1729247 2305498 2366338 2394342 2513359 3458247 3458494 3549507 5026718 5187741 6916494 7099014 7540077 10374741 10375482 10648521 15080154 15563223 20749482 21297042 22480211 22620231 31126446 32673667 44960422 45240462 47753821 65347334 67440633 95507642 98021001 134881266 143261463 196042002 202321899 286522926 294063003 404643798 424757671 429784389 588126006 620799673 849515342 859568778 1241599346 1274273013 1862399019 2548546026 3724798038 3822819039 5587197057 7645638078 8070395749 11174394114 16140791498 24211187247 48422374494 72633561741 145267123482