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423277960248 = 233211131723105143
BaseRepresentation
bin1100010100011010101…
…01010001110000111000
31111110112222011021100200
412022031111101300320
523413333124211443
6522241243402200
742403136204223
oct6121525216070
91443488137320
10423277960248
11153569412480
126a04ab23360
1330bb817c610
14166b59685ba
15b025311dd3
hex628d551c38

423277960248 has 384 divisors, whose sum is σ = 1488031534080. Its totient is φ = 106588753920.

The previous prime is 423277960247. The next prime is 423277960253. The reversal of 423277960248 is 842069772324.

423277960248 is a `hidden beast` number, since 4 + 2 + 3 + 27 + 7 + 9 + 602 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423277960194 and 423277960203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423277960247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3973165 + ... + 4078307.

It is an arithmetic number, because the mean of its divisors is an integer number (3875082120).

Almost surely, 2423277960248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423277960248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744015767040).

423277960248 is an abundant number, since it is smaller than the sum of its proper divisors (1064753573832).

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

423277960248 is a wasteful number, since it uses less digits than its factorization.

423277960248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105219 (or 105212 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 423277960248 in words is "four hundred twenty-three billion, two hundred seventy-seven million, nine hundred sixty thousand, two hundred forty-eight".