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30480525045516 = 223713210009214519
BaseRepresentation
bin1101110111000110011001…
…10111100010111100001100
310222220220120012100021112010
412323203030313202330030
512443343103402424031
6144454320534341220
76264100553030610
oct673431467427414
9128826505307463
1030480525045516
119791799842a47
1235033b61ba810
1314013bb8c6300
1477539dd1d340
1537cd05d05246
hex1bb8ccde2f0c

30480525045516 has 144 divisors (see below), whose sum is σ = 88023974438400. Its totient is φ = 8037979163136.

The previous prime is 30480525045497. The next prime is 30480525045521. The reversal of 30480525045516 is 61554052508403.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141980505 + ... + 142195023.

Almost surely, 230480525045516 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 30480525045516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44011987219200).

30480525045516 is an abundant number, since it is smaller than the sum of its proper divisors (57543449392884).

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

30480525045516 is a wasteful number, since it uses less digits than its factorization.

30480525045516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224568 (or 224553 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 30480525045516 in words is "thirty trillion, four hundred eighty billion, five hundred twenty-five million, forty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 10009 14196 20018 30027 40036 60054 70063 120108 130117 140126 210189 214519 260234 280252 390351 420378 429038 520468 643557 780702 840756 858076 910819 1287114 1501633 1561404 1691521 1821638 2574228 2732457 2788747 3003266 3383042 3643276 4504899 5074563 5464914 5577494 6006532 6766084 8366241 9009798 10149126 10929828 11154988 11840647 16732482 18019596 19521229 20298252 23681294 33464964 35521941 36253711 39042458 47362588 58563687 71043882 72507422 78084916 108761133 117127374 142087764 145014844 217522266 234254748 253775977 435044532 507551954 761327931 1015103908 1522655862 2147120671 3045311724 4294241342 6441362013 8588482684 12882724026 15029844697 25765448052 27912568723 30059689394 45089534091 55825137446 60119378788 83737706169 90179068182 111650274892 167475412338 180358136364 195387981061 334950824676 362863393399 390775962122 586163943183 725726786798 781551924244 1088590180197 1172327886366 1451453573596 2177180360394 2344655772732 2540043753793 4354360720788 5080087507586 7620131261379 10160175015172 15240262522758 30480525045516