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81536403200 = 285271820009
BaseRepresentation
bin100101111101111110…
…0101100011100000000
321210110102010102222012
41023323330230130000
52313441304400300
6101242440032052
75614355664140
oct1137374543400
9253412112865
1081536403200
11316411a059a
1213976462628
1378c5531735
143d36c36920
1521c3309435
hex12fbf2c700

81536403200 has 108 divisors (see below), whose sum is σ = 230646227280. Its totient is φ = 27955322880.

The previous prime is 81536403191. The next prime is 81536403257. The reversal of 81536403200 is 230463518.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 865205 + ... + 954804.

Almost surely, 281536403200 is an apocalyptic number.

81536403200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81536403200 is an abundant number, since it is smaller than the sum of its proper divisors (149109824080).

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

81536403200 is a wasteful number, since it uses less digits than its factorization.

81536403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820042 (or 1820023 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 81536403200 its reverse (230463518), we get a palindrome (81766866718).

The spelling of 81536403200 in words is "eighty-one billion, five hundred thirty-six million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 44800 1820009 3640018 7280036 9100045 12740063 14560072 18200090 25480126 29120144 36400180 45500225 50960252 58240288 63700315 72800360 91000450 101920504 116480576 127400630 145600720 182000900 203841008 232961152 254801260 291201440 318501575 364001800 407682016 465922304 509602520 582402880 637003150 728003600 815364032 1019205040 1164805760 1274006300 1456007200 1630728064 2038410080 2329611520 2548012600 2912014400 3261456128 4076820160 5096025200 5824028800 8153640320 10192050400 11648057600 16307280640 20384100800 40768201600 81536403200