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82463414968 = 231147167119389
BaseRepresentation
bin100110011001100110…
…0111101101010111000
321212212000110112001101
41030303030331222320
52322341113234333
6101514433101144
75646343314304
oct1146314755270
9255760415041
1082463414968
1131a774a2220
1213b949b77b4
137a125c4bcc
143dc3dc4d04
1522298be67d
hex133333dab8

82463414968 has 64 divisors (see below), whose sum is σ = 173296972800. Its totient is φ = 36465870720.

The previous prime is 82463414959. The next prime is 82463414977. The reversal of 82463414968 is 86941436428.

It is an interprime number because it is at equal distance from previous prime (82463414959) and next prime (82463414977).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631018 + ... + 750406.

It is an arithmetic number, because the mean of its divisors is an integer number (2707765200).

Almost surely, 282463414968 is an apocalyptic number.

82463414968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82463414968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86648486400).

82463414968 is an abundant number, since it is smaller than the sum of its proper divisors (90833557832).

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

82463414968 is a wasteful number, since it uses less digits than its factorization.

82463414968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119620 (or 119616 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The spelling of 82463414968 in words is "eighty-two billion, four hundred sixty-three million, four hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 167 188 334 376 517 668 1034 1336 1837 2068 3674 4136 7348 7849 14696 15698 31396 62792 86339 119389 172678 238778 345356 477556 690712 955112 1313279 2626558 5253116 5611283 10506232 11222566 19937963 22445132 39875926 44890264 61724113 79751852 123448226 159503704 219317593 246896452 438635186 493792904 877270372 937084261 1754540744 1874168522 3748337044 7496674088 10307926871 20615853742 41231707484 82463414968