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12990549456 = 24321712234339
BaseRepresentation
bin11000001100100110…
…00000110111010000
31020112100000021202100
430012103000313100
5203101040040311
65545012320400
7636626564013
oct140623006720
936470007670
1012990549456
115566910095
122626613100
1312c0443271
148b33c937a
155106d6a56
hex3064c0dd0

12990549456 has 120 divisors (see below), whose sum is σ = 38534408640. Its totient is φ = 4071195648.

The previous prime is 12990549437. The next prime is 12990549461. The reversal of 12990549456 is 65494509921.

12990549456 is a `hidden beast` number, since 1 + 2 + 9 + 90 + 549 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2991735 + ... + 2996073.

It is an arithmetic number, because the mean of its divisors is an integer number (321120072).

Almost surely, 212990549456 is an apocalyptic number.

12990549456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990549456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267204320).

12990549456 is an abundant number, since it is smaller than the sum of its proper divisors (25543859184).

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

12990549456 is a wasteful number, since it uses less digits than its factorization.

12990549456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 12990549456 in words is "twelve billion, nine hundred ninety million, five hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1223 1224 2446 2448 3669 4339 4892 7338 8678 9784 11007 13017 14676 17356 19568 20791 22014 26034 29352 34712 39051 41582 44028 52068 58704 62373 69424 73763 78102 83164 88056 104136 124746 147526 156204 166328 176112 187119 208272 221289 249492 295052 312408 332656 374238 442578 498984 590104 624816 663867 748476 885156 997968 1180208 1327734 1496952 1770312 2655468 2993904 3540624 5306597 5310936 10613194 10621872 15919791 21226388 31839582 42452776 47759373 63679164 84905552 90212149 95518746 127358328 180424298 191037492 254716656 270636447 360848596 382074984 541272894 721697192 764149968 811909341 1082545788 1443394384 1623818682 2165091576 3247637364 4330183152 6495274728 12990549456