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4922587109376 = 211333723910067
BaseRepresentation
bin100011110100010000100…
…0011100101100000000000
3122102121001120002211022000
41013220201003211200000
51121122424300000001
614245223313344000
71015434204022356
oct107504103454000
918377046084260
104922587109376
111628726101002
12676044568000
13299275c3ac01
1413037c4557d6
15880ab438a86
hex47a210e5800

4922587109376 has 384 divisors, whose sum is σ = 15040142208000. Its totient is φ = 1589676834816.

The previous prime is 4922587109347. The next prime is 4922587109393. The reversal of 4922587109376 is 6739017852294.

4922587109376 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 587 + 10 + 9 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488977495 + ... + 488987561.

It is an arithmetic number, because the mean of its divisors is an integer number (39167037000).

It is a 1-persistent number, because it is pandigital, but 2⋅4922587109376 = 9845174218752 is not.

Almost surely, 24922587109376 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 4922587109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520071104000).

4922587109376 is an abundant number, since it is smaller than the sum of its proper divisors (10117555098624).

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

4922587109376 is a wasteful number, since it uses less digits than its factorization.

4922587109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4922587109376 in words is "four trillion, nine hundred twenty-two billion, five hundred eighty-seven million, one hundred nine thousand, three hundred seventy-six".