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10231839376704 = 26331117107541547
BaseRepresentation
bin1001010011100100100100…
…1001101100010101000000
31100020011011110220212012000
42110321021021230111000
52320114301340023304
633432235255304000
72104140342465411
oct224711111542500
940204143825160
1010231839376704
113295331648190
121192bba37b000
13592b2093876a
1427531ba61808
1512b248726939
hex94e4926c540

10231839376704 has 896 divisors, whose sum is σ = 35198249379840. Its totient is φ = 2880280166400.

The previous prime is 10231839376669. The next prime is 10231839376771. The reversal of 10231839376704 is 40767393813201.

10231839376704 is a `hidden beast` number, since 1 + 0 + 23 + 183 + 9 + 376 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 18705373359 + ... + 18705373905.

Almost surely, 210231839376704 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 10231839376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599124689920).

10231839376704 is an abundant number, since it is smaller than the sum of its proper divisors (24966410003136).

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

10231839376704 is a wasteful number, since it uses less digits than its factorization.

10231839376704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10231839376704 in words is "ten trillion, two hundred thirty-one billion, eight hundred thirty-nine million, three hundred seventy-six thousand, seven hundred four".