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82139731992 = 23335317534093
BaseRepresentation
bin100110001111111101…
…0001101100000011000
321212000110101201111000
41030133322031200120
52321210232410432
6101422351305000
75635333126203
oct1143772154030
9255013351430
1082139731992
113192081242a
1213b0451b160
137990524516
143d9300893a
15220b28357c
hex131fe8d818

82139731992 has 128 divisors (see below), whose sum is σ = 232660382400. Its totient is φ = 26841424896.

The previous prime is 82139731987. The next prime is 82139732021. The reversal of 82139731992 is 29913793128.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20066298 + ... + 20070390.

Almost surely, 282139731992 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 82139731992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116330191200).

82139731992 is an abundant number, since it is smaller than the sum of its proper divisors (150520650408).

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

82139731992 is a wasteful number, since it uses less digits than its factorization.

82139731992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5904 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 82139731992 in words is "eighty-two billion, one hundred thirty-nine million, seven hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1753 1908 2862 3506 3816 4093 5259 5724 7012 8186 10518 11448 12279 14024 15777 16372 21036 24558 31554 32744 36837 42072 47331 49116 63108 73674 92909 94662 98232 110511 126216 147348 185818 189324 216929 221022 278727 294696 371636 378648 433858 442044 557454 650787 743272 836181 867716 884088 1114908 1301574 1672362 1735432 1952361 2229816 2508543 2603148 3344724 3904722 5017086 5206296 5857083 6689448 7175029 7809444 10034172 11714166 14350058 15618888 20068344 21525087 23428332 28700116 43050174 46856664 57400232 64575261 86100348 129150522 172200696 193725783 258301044 380276537 387451566 516602088 760553074 774903132 1140829611 1521106148 1549806264 2281659222 3042212296 3422488833 4563318444 6844977666 9126636888 10267466499 13689955332 20534932998 27379910664 41069865996 82139731992