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10234612424718 = 2331123753798757
BaseRepresentation
bin1001010011101110111001…
…1100000010000000001110
31100020102022201220021221000
42110323232130002000032
52320140441240042333
633433414355321130
72104266144141453
oct224735634020016
940212281807830
1010234612424718
113296524997200
121193652bb01a6
135931732ba186
1427550206b82a
1512b35bdda713
hex94eee70200e

10234612424718 has 192 divisors, whose sum is σ = 26159260599360. Its totient is φ = 2960637039360.

The previous prime is 10234612424717. The next prime is 10234612424737. The reversal of 10234612424718 is 81742421643201.

10234612424718 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 612 + 4 + 24 + 7 + 1 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234612424717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12413796 + ... + 13212552.

It is an arithmetic number, because the mean of its divisors is an integer number (136246148955).

Almost surely, 210234612424718 is an apocalyptic number.

10234612424718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234612424718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079630299680).

10234612424718 is an abundant number, since it is smaller than the sum of its proper divisors (15924648174642).

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

10234612424718 is a wasteful number, since it uses less digits than its factorization.

10234612424718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798880 (or 798863 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10234612424718 in words is "ten trillion, two hundred thirty-four billion, six hundred twelve million, four hundred twenty-four thousand, seven hundred eighteen".