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96039804000100 = 225217433912
BaseRepresentation
bin10101110101100100000010…
…011001101101011101100100
3110121001022112001212112112111
4111311210002121231131210
5100042004004311000400
6540132024334330404
726141434605432502
oct2565440231553544
9417038461775474
1096039804000100
1128668285672a64
12a9311a8059a04
13417868c9163bc
1419a04cc01d672
15b18337ed23ba
hex57590266d764

96039804000100 has 135 divisors (see below), whose sum is σ = 221496936199581. Its totient is φ = 36145499116800.

The previous prime is 96039804000089. The next prime is 96039804000121. The reversal of 96039804000100 is 100040893069.

The square root of 96039804000100 is 9799990.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10465315580196 + 85574488419904 = 3235014^2 + 9250648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28321969405 + ... + 28321972795.

Almost surely, 296039804000100 is an apocalyptic number.

96039804000100 is the 9799990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96039804000100

96039804000100 is an abundant number, since it is smaller than the sum of its proper divisors (125457132199481).

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

96039804000100 is an frugal number, since it uses more digits than its factorization.

96039804000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

Adding to 96039804000100 its reverse (100040893069), we get a palindrome (96139844893169).

The spelling of 96039804000100 in words is "ninety-six trillion, thirty-nine billion, eight hundred four million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 3391 4913 5780 6782 7225 9826 13564 14450 16955 19652 24565 28900 33910 49130 57647 67820 83521 84775 98260 115294 122825 167042 169550 230588 245650 288235 334084 339100 417605 491300 576470 835210 979999 1152940 1441175 1670420 1959998 2088025 2882350 3919996 4176050 4899995 5764700 8352100 9799990 11498881 16659983 19599980 22997762 24499975 33319966 45995524 48999950 57494405 66639932 83299915 97999900 114988810 166599830 195480977 229977620 283219711 287472025 333199660 390961954 416499575 566439422 574944050 781923908 832999150 977404885 1132878844 1149888100 1416098555 1665998300 1954809770 2832197110 3323176609 3909619540 4887024425 5664394220 6646353218 7080492775 9774048850 13292706436 14160985550 16615883045 19548097700 28321971100 33231766090 56494002353 66463532180 83079415225 112988004706 166158830450 225976009412 282470011765 332317660900 564940023530 960398040001 1129880047060 1412350058825 1920796080002 2824700117650 3841592160004 4801990200005 5649400235300 9603980400010 19207960800020 24009951000025 48019902000050 96039804000100