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58850448345 = 355132299883
BaseRepresentation
bin110110110011110000…
…101001001111011001
312121220101111112100000
4312303300221033121
51431011203321340
643011401203213
74152240362103
oct666360511731
9177811445300
1058850448345
1122a5a5a8977
12b4a4a90509
13571b54a200
142bc3d36573
1517e687ed30
hexdb3c293d9

58850448345 has 144 divisors (see below), whose sum is σ = 118510741440. Its totient is φ = 27970645248.

The previous prime is 58850448337. The next prime is 58850448359. The reversal of 58850448345 is 54384405885.

58850448345 is a `hidden beast` number, since 58 + 8 + 504 + 4 + 83 + 4 + 5 = 666.

It is not a de Polignac number, because 58850448345 - 23 = 58850448337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58850448291 and 58850448300.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5949774 + ... + 5959656.

It is an arithmetic number, because the mean of its divisors is an integer number (822991260).

Almost surely, 258850448345 is an apocalyptic number.

It is an amenable number.

58850448345 is an abundant number, since it is smaller than the sum of its proper divisors (59660293095).

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

58850448345 is a wasteful number, since it uses less digits than its factorization.

58850448345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 58850448345 in words is "fifty-eight billion, eight hundred fifty million, four hundred forty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 29 39 45 65 81 87 117 135 145 169 195 243 261 351 377 405 435 507 585 783 845 1053 1131 1215 1305 1521 1755 1885 2349 2535 3159 3393 3915 4563 4901 5265 5655 7047 7605 9883 10179 11745 13689 14703 15795 16965 22815 24505 29649 30537 35235 41067 44109 49415 50895 68445 73515 88947 91611 128479 132327 148245 152685 205335 220545 266841 286607 385437 396981 444735 458055 642395 661635 800523 859821 1156311 1190943 1334205 1433035 1670227 1927185 1984905 2401569 2579463 3468933 3725891 4002615 4299105 5010681 5781555 5954715 7738389 8351135 10406799 11177673 12007845 12897315 15032043 17344665 18629455 23215167 25053405 31220397 33533019 38691945 45096129 48436583 52033995 55888365 69645501 75160215 100599057 116075835 135288387 145309749 156101985 167665095 225480645 242182915 301797171 348227505 405865161 435929247 502995285 676441935 726548745 905391513 1307787741 1508985855 2029325805 2179646235 3923363223 4526957565 6538938705 11770089669 19616816115 58850448345