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82003264140 = 223571711485051
BaseRepresentation
bin100110001011111000…
…1101000001010001100
321211122221121102210010
41030113301220022030
52320420313423030
6101401034313220
75632055146560
oct1142761501214
9254587542703
1082003264140
1131860783086
1213a86888810
13796b182b05
143d7cc436a0
1521ee2c86b0
hex1317c6828c

82003264140 has 96 divisors (see below), whose sum is σ = 277846377984. Its totient is φ = 17641036800.

The previous prime is 82003264117. The next prime is 82003264151. The reversal of 82003264140 is 4146230028.

It is a super-2 number, since 2×820032641402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82003264098 and 82003264107.

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, 5735386 + ... + 5749665.

It is an arithmetic number, because the mean of its divisors is an integer number (2894233104).

Almost surely, 282003264140 is an apocalyptic number.

It is an amenable number.

82003264140 is an abundant number, since it is smaller than the sum of its proper divisors (195843113844).

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

82003264140 is a wasteful number, since it uses less digits than its factorization.

82003264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11485087 (or 11485085 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 82003264140 its reverse (4146230028), we get a palindrome (86149494168).

The spelling of 82003264140 in words is "eighty-two billion, three million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 11485051 22970102 34455153 45940204 57425255 68910306 80395357 114850510 137820612 160790714 172275765 195245867 229701020 241186071 321581428 344551530 390491734 401976785 482372142 585737601 689103060 780983468 803953570 964744284 976229335 1171475202 1205930355 1366721069 1607907140 1952458670 2342950404 2411860710 2733442138 2928688005 3904917340 4100163207 4823721420 5466884276 5857376010 6833605345 8200326414 11714752020 13667210690 16400652828 20500816035 27334421380 41001632070 82003264140