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96807778202880 = 283258403452969
BaseRepresentation
bin10110000000101111010001…
…001110110011010100000000
3110200202201210111211012210100
4112000233101032303110000
5100142044312204443010
6541520513535002400
726251062663441363
oct2600572116632400
9420681714735710
1096807778202880
1128933a48027248
12aa35bb5069400
134202c1b8c05b4
1419c9742c880da
15b2d2d48de2c0
hex580bd13b3500

96807778202880 has 108 divisors (see below), whose sum is σ = 334944828478260. Its totient is φ = 25815407517696.

The previous prime is 96807778202879. The next prime is 96807778202909. The reversal of 96807778202880 is 8820287770869.

It can be written as a sum of positive squares in 2 ways, for example, as 11736818217216 + 85070959985664 = 3425904^2 + 9223392^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96807778202799 and 96807778202808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4201714965 + ... + 4201738004.

Almost surely, 296807778202880 is an apocalyptic number.

96807778202880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96807778202880 is an abundant number, since it is smaller than the sum of its proper divisors (238137050275380).

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

96807778202880 is a wasteful number, since it uses less digits than its factorization.

96807778202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403452996 (or 8403452979 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 96807778202880 in words is "ninety-six trillion, eight hundred seven billion, seven hundred seventy-eight million, two hundred two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 8403452969 16806905938 25210358907 33613811876 42017264845 50420717814 67227623752 75631076721 84034529690 100841435628 126051794535 134455247504 151262153442 168069059380 201682871256 252103589070 268910495008 302524306884 336138118760 378155383605 403365742512 504207178140 537820990016 605048613768 672276237520 756310767210 806731485024 1008414356280 1075641980032 1210097227536 1344552475040 1512621534420 1613462970048 2016828712560 2151283960064 2420194455072 2689104950080 3025243068840 3226925940096 4033657425120 4840388910144 5378209900160 6050486137680 6453851880192 8067314850240 9680777820288 10756419800320 12100972275360 16134629700480 19361555640576 24201944550720 32269259400960 48403889101440 96807778202880