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10054335732 = 2237419285667
BaseRepresentation
bin10010101110100100…
…01111110011110100
3221221201000011201220
421113102033303310
5131042402220412
64341403150340
7504104305110
oct112722176364
927851004656
1010054335732
11429a457281
121b472153b0
13c430331ac
146b5468740
153dca4268c
hex25748fcf4

10054335732 has 48 divisors (see below), whose sum is σ = 26875645440. Its totient is φ = 2865801312.

The previous prime is 10054335719. The next prime is 10054335743. The reversal of 10054335732 is 23753345001.

It is a junction number, because it is equal to n+sod(n) for n = 10054335693 and 10054335702.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107638 + ... + 178029.

It is an arithmetic number, because the mean of its divisors is an integer number (559909280).

Almost surely, 210054335732 is an apocalyptic number.

10054335732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10054335732 is an abundant number, since it is smaller than the sum of its proper divisors (16821309708).

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

10054335732 is a wasteful number, since it uses less digits than its factorization.

10054335732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286100 (or 286098 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The spelling of 10054335732 in words is "ten billion, fifty-four million, three hundred thirty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 419 838 1257 1676 2514 2933 5028 5866 8799 11732 17598 35196 285667 571334 857001 1142668 1714002 1999669 3428004 3999338 5999007 7998676 11998014 23996028 119694473 239388946 359083419 478777892 718166838 837861311 1436333676 1675722622 2513583933 3351445244 5027167866 10054335732