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82282401046 = 21729672115903
BaseRepresentation
bin100110010100001101…
…0011100110100010110
321212101101212001122001
41030220122130310112
52322003243313141
6101444445225514
75642014604026
oct1145032346426
9255341761561
1082282401046
11319942a783a
1213b4426229a
1379b3c57691
143da7d45a86
152218a65a31
hex132869cd16

82282401046 has 64 divisors (see below), whose sum is σ = 137881543680. Its totient is φ = 36647170560.

The previous prime is 82282401011. The next prime is 82282401059. The reversal of 82282401046 is 64010428228.

It is a junction number, because it is equal to n+sod(n) for n = 82282400996 and 82282401014.

It is a congruent number.

It is an unprimeable number.

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, 13936131 + ... + 13942033.

It is an arithmetic number, because the mean of its divisors is an integer number (2154399120).

Almost surely, 282282401046 is an apocalyptic number.

82282401046 is a deficient number, since it is larger than the sum of its proper divisors (55599142634).

82282401046 is a wasteful number, since it uses less digits than its factorization.

82282401046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 82282401046 in words is "eighty-two billion, two hundred eighty-two million, four hundred one thousand, forty-six".

Divisors: 1 2 17 29 34 58 67 134 211 422 493 986 1139 1943 2278 3587 3886 5903 6119 7174 11806 12238 14137 28274 33031 66062 100351 104023 171187 200702 208046 240329 342374 395501 409973 480658 791002 819946 1245533 2491066 2910179 5820358 6723517 6969541 11469529 13447034 13939082 21174061 22939058 36120457 42348122 72240914 83450711 166901422 194981993 389963986 614047769 1228095538 1418662087 2420070619 2837324174 4840141238 41141200523 82282401046