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82322215040 = 2751319520763
BaseRepresentation
bin100110010101011001…
…0010101000010000000
321212111011202211011102
41030222302111002000
52322043441340130
6101452430433532
75643010165562
oct1145262250200
9255434684142
1082322215040
1131a0482066a
1213b556628a8
1379bc287660
143dad34b332
15221c2cc645
hex132ac95080

82322215040 has 128 divisors (see below), whose sum is σ = 223095297600. Its totient is φ = 28796055552.

The previous prime is 82322215039. The next prime is 82322215057. The reversal of 82322215040 is 4051222328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 82322214994 and 82322215012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102302 + ... + 418461.

Almost surely, 282322215040 is an apocalyptic number.

82322215040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82322215040 is an abundant number, since it is smaller than the sum of its proper divisors (140773082560).

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

82322215040 is a wasteful number, since it uses less digits than its factorization.

82322215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520814 (or 520802 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 82322215040 its reverse (4051222328), we get a palindrome (86373437368).

The spelling of 82322215040 in words is "eighty-two billion, three hundred twenty-two million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 320 380 416 494 520 608 640 760 832 988 1040 1216 1235 1520 1664 1976 2080 2432 2470 3040 3952 4160 4940 6080 7904 8320 9880 12160 15808 19760 31616 39520 79040 158080 520763 1041526 2083052 2603815 4166104 5207630 6769919 8332208 9894497 10415260 13539838 16664416 19788994 20830520 27079676 33328832 33849595 39577988 41661040 49472485 54159352 66657664 67699190 79155976 83322080 98944970 108318704 128628461 135398380 158311952 166644160 197889940 216637408 257256922 270796760 316623904 333288320 395779880 433274816 514513844 541593520 633247808 643142305 791559760 866549632 1029027688 1083187040 1266495616 1286284610 1583119520 2058055376 2166374080 2572569220 3166239040 4116110752 4332748160 5145138440 6332478080 8232221504 10290276880 16464443008 20580553760 41161107520 82322215040