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71820067146 = 23197911636857
BaseRepresentation
bin100001011100011001…
…1110100000101001010
320212101021010102121220
41002320303310011022
52134041414122041
652554345142510
75121524332602
oct1027063640512
9225337112556
1071820067146
11285056124a3
1211b0448aa36
136a07542569
143694633c02
151d052ced66
hex10b8cf414a

71820067146 has 64 divisors (see below), whose sum is σ = 153268070400. Its totient is φ = 22370414976.

The previous prime is 71820067141. The next prime is 71820067153. The reversal of 71820067146 is 64176002817.

It is a junction number, because it is equal to n+sod(n) for n = 71820067098 and 71820067107.

It is not an unprimeable number, because it can be changed into a prime (71820067141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10470550 + ... + 10477406.

It is an arithmetic number, because the mean of its divisors is an integer number (2394813600).

Almost surely, 271820067146 is an apocalyptic number.

71820067146 is an abundant number, since it is smaller than the sum of its proper divisors (81448003254).

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

71820067146 is a wasteful number, since it uses less digits than its factorization.

71820067146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 71820067146 in words is "seventy-one billion, eight hundred twenty million, sixty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 19 38 57 79 114 158 237 474 1163 1501 2326 3002 3489 4503 6857 6978 9006 13714 20571 22097 41142 44194 66291 91877 130283 132582 183754 260566 275631 390849 541703 551262 781698 1083406 1625109 1745663 3250218 3491326 5236989 7974691 10292357 10473978 15949382 20584714 23924073 30877071 47848146 61754142 151519129 303038258 454557387 630000589 909114774 1260001178 1890001767 3780003534 11970011191 23940022382 35910033573 71820067146