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30485431680 = 2735111443439
BaseRepresentation
bin11100011001000100…
…101100010110000000
32220200120201101110020
4130121010230112000
5444413232303210
622001012333440
72126312615364
oct343104542600
986616641406
1030485431680
1111a24260040
125aa9614280
132b4ab19192
141692acb2a4
15bd6565770
hex71912c580

30485431680 has 128 divisors (see below), whose sum is σ = 106006233600. Its totient is φ = 7390402560.

The previous prime is 30485431621. The next prime is 30485431687. The reversal of 30485431680 is 8613458403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30485431687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700600 + ... + 742839.

It is an arithmetic number, because the mean of its divisors is an integer number (828173700).

Almost surely, 230485431680 is an apocalyptic number.

30485431680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30485431680 is an abundant number, since it is smaller than the sum of its proper divisors (75520801920).

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

30485431680 is a wasteful number, since it uses less digits than its factorization.

30485431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443472 (or 1443460 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 30485431680 in words is "thirty billion, four hundred eighty-five million, four hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 1443439 2886878 4330317 5773756 7217195 8660634 11547512 14434390 15877829 17321268 21651585 23095024 28868780 31755658 34642536 43303170 46190048 47633487 57737560 63511316 69285072 79389145 86606340 92380096 95266974 115475120 127022632 138570144 158778290 173212680 184760192 190533948 230950240 238167435 254045264 277140288 317556580 346425360 381067896 461900480 476334870 508090528 554280576 635113160 692850720 762135792 923800960 952669740 1016181056 1270226320 1385701440 1524271584 1905339480 2032362112 2540452640 2771402880 3048543168 3810678960 5080905280 6097086336 7621357920 10161810560 15242715840 30485431680