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82299524073 = 313831011391811
BaseRepresentation
bin100110010100101101…
…1110001001111101001
321212102121002000000020
41030221123301033221
52322022134232243
6101450300231053
75642313261264
oct1145133611751
9255377060006
1082299524073
11319a2a325a8
1213b49b3b489
1379b7671450
143daa321cdb
15221a2e9283
hex13296f13e9

82299524073 has 64 divisors (see below), whose sum is σ = 121717693440. Its totient is φ = 49156704000.

The previous prime is 82299524053. The next prime is 82299524141. The reversal of 82299524073 is 37042599228.

It is not a de Polignac number, because 82299524073 - 224 = 82282746857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82299524023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45443338 + ... + 45445148.

It is an arithmetic number, because the mean of its divisors is an integer number (1901838960).

Almost surely, 282299524073 is an apocalyptic number.

82299524073 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82299524073 is a deficient number, since it is larger than the sum of its proper divisors (39418169367).

82299524073 is a wasteful number, since it uses less digits than its factorization.

82299524073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 82299524073 in words is "eighty-two billion, two hundred ninety-nine million, five hundred twenty-four thousand, seventy-three".

Divisors: 1 3 13 39 83 101 139 249 303 417 1079 1313 1807 1811 3237 3939 5421 5433 8383 11537 14039 23543 25149 34611 42117 70629 108979 149981 150313 182507 182911 251729 326937 449943 450939 547521 548733 755187 1165237 1954069 2377843 3272477 3495711 5862207 7133529 9817431 15148081 15181613 20893507 25424629 45444243 45544839 62680521 76273887 197360969 271615591 330520177 592082907 814846773 991560531 2110244207 6330732621 27433174691 82299524073