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81924412819 = 171922710131103
BaseRepresentation
bin100110001001100010…
…0110101010110010011
321211110110020101002211
41030103010311112103
52320240122202234
6101345140252551
75630110006414
oct1142304652623
9254413211084
1081924412819
11318202169a7
1213a643a1157
137957a35522
143d7259980b
1521e7400164
hex1313135593

81924412819 has 32 divisors (see below), whose sum is σ = 91884948480. Its totient is φ = 72587699712.

The previous prime is 81924412723. The next prime is 81924412883. The reversal of 81924412819 is 91821442918.

It is a de Polignac number, because none of the positive numbers 2k-81924412819 is a prime.

It is a super-2 number, since 2×819244128192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81924412519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74273622 + ... + 74274724.

It is an arithmetic number, because the mean of its divisors is an integer number (2871404640).

Almost surely, 281924412819 is an apocalyptic number.

81924412819 is a deficient number, since it is larger than the sum of its proper divisors (9960535661).

81924412819 is a wasteful number, since it uses less digits than its factorization.

81924412819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379.

The product of its digits is 331776, while the sum is 49.

The spelling of 81924412819 in words is "eighty-one billion, nine hundred twenty-four million, four hundred twelve thousand, eight hundred nineteen".

Divisors: 1 17 19 227 323 1013 1103 3859 4313 17221 18751 19247 20957 73321 229951 250381 327199 356269 1117339 3909167 4256477 4369069 4757239 18994763 21229441 74274173 80873063 253635953 360900497 4311811201 4819083107 81924412819