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30255874924752 = 2433299672497477
BaseRepresentation
bin1101110000100011111101…
…01011010110000011010000
310222010102200221111201022000
412320101332223112003100
512431203012440043002
6144203205042514000
76241625533354401
oct670217653260320
9128112627451260
1030255874924752
119705498698214
12348795b365900
1313b61696b3b79
1476856c12d9a8
1537705877161c
hex1b847ead60d0

30255874924752 has 160 divisors (see below), whose sum is σ = 89933183788800. Its totient is φ = 9727449242112.

The previous prime is 30255874924669. The next prime is 30255874924753. The reversal of 30255874924752 is 25742947855203.

30255874924752 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 5 + 8 + 74 + 92 + 475 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30255874924752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30255874924753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10865838 + ... + 13363314.

It is an arithmetic number, because the mean of its divisors is an integer number (562082398680).

Almost surely, 230255874924752 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 30255874924752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44966591894400).

30255874924752 is an abundant number, since it is smaller than the sum of its proper divisors (59677308864048).

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

30255874924752 is a wasteful number, since it uses less digits than its factorization.

30255874924752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498490 (or 2498478 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 30255874924752 in words is "thirty trillion, two hundred fifty-five billion, eight hundred seventy-four million, nine hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 967 1044 1392 1566 1934 2088 2901 3132 3868 4176 5802 6264 7736 8703 11604 12528 15472 17406 23208 26109 28043 34812 46416 52218 56086 69624 84129 104436 112172 139248 168258 208872 224344 252387 336516 417744 448688 504774 673032 757161 1009548 1346064 1514322 2019096 2497477 3028644 4038192 4994954 6057288 7492431 9989908 12114576 14984862 19979816 22477293 29969724 39959632 44954586 59939448 67431879 72426833 89909172 119878896 134863758 144853666 179818344 217280499 269727516 289707332 359636688 434560998 539455032 579414664 651841497 869121996 1078910064 1158829328 1303682994 1738243992 1955524491 2415060259 2607365988 3476487984 3911048982 4830120518 5214731976 7245180777 7822097964 9660241036 10429463952 14490361554 15644195928 19320482072 21735542331 28980723108 31288391856 38640964144 43471084662 57961446216 65206626993 70036747511 86942169324 115922892432 130413253986 140073495022 173884338648 210110242533 260826507972 280146990044 347768677296 420220485066 521653015944 560293980088 630330727599 840440970132 1043306031888 1120587960176 1260661455198 1680881940264 1890992182797 2521322910396 3361763880528 3781984365594 5042645820792 7563968731188 10085291641584 15127937462376 30255874924752