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30260216546120 = 235113171065120369
BaseRepresentation
bin1101110000101100000010…
…11101010100001101001000
310222010211220112000221011102
412320112001131110031020
512431240410413433440
6144205203534520532
76242141242500551
oct670260135241510
9128124815027142
1030260216546120
1197073163a3650
123488771366148
1313b66ac016bb2
147688609ad328
1537720e9c7b15
hex1b8581754348

30260216546120 has 128 divisors (see below), whose sum is σ = 74520037065600. Its totient is φ = 10967434752000.

The previous prime is 30260216546089. The next prime is 30260216546123. The reversal of 30260216546120 is 2164561206203.

It is not an unprimeable number, because it can be changed into a prime (30260216546123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1485591296 + ... + 1485611664.

It is an arithmetic number, because the mean of its divisors is an integer number (582187789575).

Almost surely, 230260216546120 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 30260216546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37260018532800).

30260216546120 is an abundant number, since it is smaller than the sum of its proper divisors (44259820519480).

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

30260216546120 is a wasteful number, since it uses less digits than its factorization.

30260216546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31359 (or 31355 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 30260216546120 in words is "thirty trillion, two hundred sixty billion, two hundred sixteen million, five hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 317 440 634 1268 1585 2536 3170 3487 6340 6974 10651 12680 13948 17435 20369 21302 27896 34870 40738 42604 53255 69740 81476 85208 101845 106510 117161 139480 162952 203690 213020 224059 234322 407380 426040 448118 468644 585805 814760 896236 937288 1120295 1171610 1792472 2240590 2343220 3376367 4481180 4686440 6456973 6752734 8962360 12913946 13505468 16881835 25827892 27010936 32284865 33763670 37140037 51655784 64569730 67527340 71026703 74280074 129139460 135054680 142053406 148560148 185700185 216950219 258278920 284106812 297120296 355133515 371400370 433900438 568213624 710267030 742800740 867800876 1084751095 1420534060 1485601480 1735601752 2169502190 2386452409 2841068120 4339004380 4772904818 8678008760 9545809636 11932262045 19091619272 23864524090 47729048180 68773219423 95458096360 137546438846 275092877692 343866097115 550185755384 687732194230 756505413653 1375464388460 1513010827306 2750928776920 3026021654612 3782527068265 6052043309224 7565054136530 15130108273060 30260216546120