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23060643840 = 21533513401
BaseRepresentation
bin10101011110100001…
…011000000000000000
32012112010200002022000
4111132201120000000
5334212011100330
614332141344000
71444315144533
oct253641300000
965463602260
1023060643840
119864150043
124576b68000
1322368031b0
14118a996a1a
158ee7dd560
hex55e858000

23060643840 has 512 divisors, whose sum is σ = 88519435200. Its totient is φ = 5662310400.

The previous prime is 23060643829. The next prime is 23060643841. The reversal of 23060643840 is 4834606032.

It is a happy number.

23060643840 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 0 + 643 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23060643795 and 23060643804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23060643841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57507640 + ... + 57508040.

Almost surely, 223060643840 is an apocalyptic number.

23060643840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23060643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259717600).

23060643840 is an abundant number, since it is smaller than the sum of its proper divisors (65458791360).

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

23060643840 is an equidigital number, since it uses as much as digits as its factorization.

23060643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23060643840 in words is "twenty-three billion, sixty million, six hundred forty-three thousand, eight hundred forty".