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428013754916 = 2211234110315573
BaseRepresentation
bin1100011101001111001…
…10111001101000100100
31111220210000101120100012
412032213212321220210
524003033010124131
6524343220105352
742631402613606
oct6164746715044
91456700346305
10428013754916
11155579674070
126ab50b35258
1331491363a97
1416a048d3176
15b200e7a52b
hex63a79b9a24

428013754916 has 48 divisors (see below), whose sum is σ = 873440281728. Its totient is φ = 181554067200.

The previous prime is 428013754901. The next prime is 428013754937. The reversal of 428013754916 is 619457310824.

It is a happy 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, 5116295 + ... + 5199278.

It is an arithmetic number, because the mean of its divisors is an integer number (18196672536).

It is a 1-persistent number, because it is pandigital, but 2⋅428013754916 = 856027509832 is not.

Almost surely, 2428013754916 is an apocalyptic number.

428013754916 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

428013754916 is an abundant number, since it is smaller than the sum of its proper divisors (445426526812).

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

428013754916 is a wasteful number, since it uses less digits than its factorization.

428013754916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315652 (or 10315650 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 428013754916 in words is "four hundred twenty-eight billion, thirteen million, seven hundred fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 11 22 23 41 44 46 82 92 164 253 451 506 902 943 1012 1804 1886 3772 10373 20746 41492 10315573 20631146 41262292 113471303 226942606 237258179 422938493 453885212 474516358 845876986 949032716 1691753972 2609839969 4652323423 5219679938 9304646846 9727585339 10439359876 18609293692 19455170678 38910341356 107003438729 214006877458 428013754916