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114664866480 = 24325821193979
BaseRepresentation
bin110101011001010001…
…1110000001010110000
3101221222012011202011200
41222302203300022300
53334313201211410
6124402030011200
711166334166163
oct1526243601260
9357865152150
10114664866480
11446a136736a
121a281046b00
13aa74aa9228
14579a967ada
152eb19003c0
hex1ab28f02b0

114664866480 has 120 divisors (see below), whose sum is σ = 385553872080. Its totient is φ = 30539896320.

The previous prime is 114664866473. The next prime is 114664866509. The reversal of 114664866480 is 84668466411.

114664866480 is a `hidden beast` number, since 1 + 1 + 4 + 66 + 48 + 66 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494131 + ... + 688109.

It is an arithmetic number, because the mean of its divisors is an integer number (3212948934).

Almost surely, 2114664866480 is an apocalyptic number.

114664866480 is a gapful number since it is divisible by the number (10) 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 114664866480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192776936040).

114664866480 is an abundant number, since it is smaller than the sum of its proper divisors (270889005600).

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

114664866480 is a wasteful number, since it uses less digits than its factorization.

114664866480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194819 (or 194810 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 114664866480 in words is "one hundred fourteen billion, six hundred sixty-four million, eight hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 821 1642 2463 3284 4105 4926 6568 7389 8210 9852 12315 13136 14778 16420 19704 24630 29556 32840 36945 39408 49260 59112 65680 73890 98520 118224 147780 193979 197040 295560 387958 581937 591120 775916 969895 1163874 1551832 1745811 1939790 2327748 2909685 3103664 3491622 3879580 4655496 5819370 6983244 7759160 8729055 9310992 11638740 13966488 15518320 17458110 23277480 27932976 34916220 46554960 69832440 139664880 159256759 318513518 477770277 637027036 796283795 955540554 1274054072 1433310831 1592567590 1911081108 2388851385 2548108144 2866621662 3185135180 3822162216 4777702770 5733243324 6370270360 7166554155 7644324432 9555405540 11466486648 12740540720 14333108310 19110811080 22932973296 28666216620 38221622160 57332433240 114664866480