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67830422403876 = 223114112533337473
BaseRepresentation
bin11110110110001000000000…
…01110110111101100100100
322220011112011202121110220020
433123010000032313230210
532342313201113411001
6400132511010035140
720200405046241666
oct1733040016675444
9286145152543806
1067830422403876
111a6817a2125490
127735ba7278ab0
132bb04c5ba24a2
1412a701d496536
157c9659309736
hex3db1003b7b24

67830422403876 has 48 divisors (see below), whose sum is σ = 176870458433088. Its totient is φ = 20053339955200.

The previous prime is 67830422403871. The next prime is 67830422403929.

It is a happy number.

67830422403876 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (67830422403871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6266663325 + ... + 6266674148.

It is an arithmetic number, because the mean of its divisors is an integer number (3684801217356).

Almost surely, 267830422403876 is an apocalyptic number.

67830422403876 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67830422403876 is an abundant number, since it is smaller than the sum of its proper divisors (109040036029212).

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

67830422403876 is a wasteful number, since it uses less digits than its factorization.

67830422403876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533337532 (or 12533337530 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 67830422403876 in words is "sixty-seven trillion, eight hundred thirty billion, four hundred twenty-two million, four hundred three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 12533337473 25066674946 37600012419 50133349892 75200024838 137866712203 150400049676 275733424406 413600136609 513866836393 551466848812 827200273218 1027733672786 1541600509179 1654400546436 2055467345572 3083201018358 5652535200323 6166402036716 11305070400646 16957605600969 22610140801292 33915211201938 67830422403876