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94896978114064 = 247237294032
BaseRepresentation
bin10101100100111011101100…
…101010111011011000010000
3110110000001200120100100102111
4111210323230222323120100
544414243002344122224
6533455023033355104
725663036403613400
oct2544735452733020
9413001616310374
1094896978114064
1128267645205a25
12a787805b68a94
1340c4992497079
141961076d46800
15ae874c8e9d94
hex564eecabb610

94896978114064 has 135 divisors (see below), whose sum is σ = 219841515080397. Its totient is φ = 39566732349312.

The previous prime is 94896978114053. The next prime is 94896978114187. The reversal of 94896978114064 is 46041187969849.

The square root of 94896978114064 is 9741508.

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

It can be written as a sum of positive squares in only one way, i.e., 84915119203600 + 9981858910464 = 9214940^2 + 3159408^2 .

It is a super-2 number, since 2×948969781140642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10092197587 + ... + 10092206989.

Almost surely, 294896978114064 is an apocalyptic number.

94896978114064 is the 9741508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94896978114064

94896978114064 is an abundant number, since it is smaller than the sum of its proper divisors (124944536966333).

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

94896978114064 is an frugal number, since it uses more digits than its factorization.

94896978114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18902 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 76.

The spelling of 94896978114064 in words is "ninety-four trillion, eight hundred ninety-six billion, nine hundred seventy-eight million, one hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1369 1813 2072 2738 3626 4144 5476 7252 9403 9583 10952 14504 18806 19166 21904 29008 37612 38332 65821 67081 75224 76664 131642 134162 150448 153328 263284 268324 347911 460747 526568 536648 695822 921494 1053136 1073296 1391644 1842988 2435377 2783288 3685976 4870754 5566576 7371952 9741508 12872707 17047639 19483016 25745414 34095278 38966032 51490828 68190556 88416409 90108949 102981656 136381112 176832818 180217898 205963312 272762224 353665636 360435796 618914863 630762643 707331272 720871592 1237829726 1261525286 1414662544 1441743184 2475659452 2523050572 3271407133 4332404041 4951318904 5046101144 6542814266 8664808082 9902637808 10092202288 13085628532 17329616164 22899849931 26171257064 34659232328 45799699862 52342514128 69318464656 91599399724 121042063921 160298949517 183198799448 242084127842 320597899034 366397598896 484168255684 641195798068 847294447447 968336511368 1282391596136 1694588894894 1936673022736 2564783192272 3389177789788 5931061132129 6778355579576 11862122264258 13556711159152 23724244528516 47448489057032 94896978114064