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116154420956064 = 253212311180127763
BaseRepresentation
bin11010011010010001001111…
…000000000000101110100000
3120020021020212022100200111100
4122122101033000000232200
5110211033223231043224
61051012334311514400
733315610555511031
oct3232211700005640
9506236768320440
10116154420956064
11340128a4543497
121103b608688a00
134ca7412aa002a
142097c926d2a88
15d6669a452ac9
hex69a44f000ba0

116154420956064 has 144 divisors (see below), whose sum is σ = 330622385917824. Its totient is φ = 38682016128000.

The previous prime is 116154420956039. The next prime is 116154420956087. The reversal of 116154420956064 is 460659024451611.

116154420956064 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 5 + 4 + 4 + 20 + 9 + 5 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 116154420956064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4183771047 + ... + 4183798809.

It is an arithmetic number, because the mean of its divisors is an integer number (2295988791096).

Almost surely, 2116154420956064 is an apocalyptic number.

It is an amenable number.

116154420956064 is an abundant number, since it is smaller than the sum of its proper divisors (214467964961760).

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

116154420956064 is a wasteful number, since it uses less digits than its factorization.

116154420956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40811 (or 40800 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 116154420956064 in words is "one hundred sixteen trillion, one hundred fifty-four billion, four hundred twenty million, nine hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1231 2462 3693 4924 7386 9848 11079 11801 14772 19696 22158 23602 27763 29544 35403 39392 44316 47204 55526 59088 70806 83289 88632 94408 106209 111052 118176 141612 166578 177264 188816 212418 222104 249867 283224 333156 354528 377632 424836 444208 499734 566448 666312 849672 888416 999468 1132896 1332624 1699344 1998936 2665248 3398688 3997872 7995744 14527031 29054062 34176253 43581093 58108124 68352506 87162186 102528759 116216248 130743279 136705012 174324372 205057518 232432496 261486558 273410024 307586277 327631163 348648744 410115036 464864992 522973116 546820048 615172554 655262326 697297488 820230072 982893489 1045946232 1093640096 1230345108 1310524652 1394594976 1640460144 1965786978 2091892464 2460690216 2621049304 2948680467 3280920288 3931573956 4183784928 4921380432 5242098608 5897360934 7863147912 9842760864 10484197216 11794721868 15726295824 23589443736 31452591648 47178887472 94357774944 403313961653 806627923306 1209941884959 1613255846612 2419883769918 3226511693224 3629825654877 4839767539836 6453023386448 7259651309754 9679535079672 12906046772896 14519302619508 19359070159344 29038605239016 38718140318688 58077210478032 116154420956064