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81643253632 = 272931769383
BaseRepresentation
bin100110000001001010…
…0010010111110000000
321210201212012000012121
41030002110102332000
52314201133104012
6101301214134024
75620124130343
oct1140224227600
9253655160177
1081643253632
1131696540936
12139a61b1314
137911703345
143d470cc45a
1521cc8b3a07
hex1302512f80

81643253632 has 64 divisors (see below), whose sum is σ = 168790456800. Its totient is φ = 39289083904.

The previous prime is 81643253621. The next prime is 81643253639. The reversal of 81643253632 is 23635234618.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81643253639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142013 + ... + 1211395.

Almost surely, 281643253632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81643253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84395228400).

81643253632 is an abundant number, since it is smaller than the sum of its proper divisors (87147203168).

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

81643253632 is a wasteful number, since it uses less digits than its factorization.

81643253632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69743 (or 69731 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 81643253632 in words is "eighty-one billion, six hundred forty-three million, two hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 317 464 634 928 1268 1856 2536 3712 5072 9193 10144 18386 20288 36772 40576 69383 73544 138766 147088 277532 294176 555064 588352 1110128 1176704 2012107 2220256 4024214 4440512 8048428 8881024 16096856 21994411 32193712 43988822 64387424 87977644 128774848 175955288 257549696 351910576 637837919 703821152 1275675838 1407642304 2551351676 2815284608 5102703352 10205406704 20410813408 40821626816 81643253632