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94239614028681 = 321144725692
BaseRepresentation
bin10101011011010111011110…
…101101111100101110001001
3110100200012220201211211021100
4111123113132231330232021
544323010212142404211
6532233025255532013
725564405326233052
oct2533273655745611
9410605821754240
1094239614028681
1128033883330000
12a6a032808a009
1340779b0218794
14193b31631d729
15ad65c6951156
hex55b5deb7cb89

94239614028681 has 135 divisors (see below), whose sum is σ = 153258334502455. Its totient is φ = 55801464565440.

The previous prime is 94239614028643. The next prime is 94239614028691. The reversal of 94239614028681 is 18682041693249.

The square root of 94239614028681 is 9707709.

It is a perfect power (a square), and thus also a powerful number.

94239614028681 is a `hidden beast` number, since 9 + 4 + 2 + 3 + 9 + 614 + 0 + 2 + 8 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15532198270281 + 78707415758400 = 3941091^2 + 8871720^2 .

It is not a de Polignac number, because 94239614028681 - 217 = 94239613897609 is a prime.

It is a super-2 number, since 2×942396140286812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94239614028601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 165623222965 + ... + 165623223533.

Almost surely, 294239614028681 is an apocalyptic number.

94239614028681 is the 9707709-th square number.

94239614028681 is the 4853855-th centered octagonal number.

It is an amenable number.

94239614028681 is a deficient number, since it is larger than the sum of its proper divisors (59018720473774).

94239614028681 is an frugal number, since it uses more digits than its factorization.

94239614028681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 94239614028681 in words is "ninety-four trillion, two hundred thirty-nine billion, six hundred fourteen million, twenty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 47 99 121 141 363 423 517 569 1089 1331 1551 1707 2209 3993 4653 5121 5687 6259 6627 11979 14641 17061 18777 19881 24299 26743 43923 51183 56331 62557 68849 72897 80229 131769 187671 206547 218691 240687 267289 294173 323761 563013 619641 688127 757339 801867 882519 971283 1256921 2064381 2272017 2405601 2647557 2913849 2940179 3235903 3561371 3770763 6193143 6816051 8330729 8820537 9707709 10684113 11312289 13826131 15216767 24992187 26461611 29123127 32052339 32341969 35594933 39175081 41478393 45650301 74976561 97025907 106784799 117525243 124435179 136950903 152087441 167384437 291077721 320354397 352575729 391544263 430925891 456262323 502153311 715188049 1174632789 1292777673 1368786969 1506459933 1672961851 1841228807 2145564147 3523898367 3878333019 4740184801 5018885553 5523686421 6436692441 7867068539 14220554403 15056656659 16571059263 18402580361 20253516877 23601205617 42661663209 55207741083 60760550631 70803616851 86537753929 165623223249 182281651893 222788685647 259613261787 668366056941 778839785361 951915293219 2005098170823 2855745879657 8567237638971 10471068225409 31413204676227 94239614028681