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23421237840 = 243257111332497
BaseRepresentation
bin10101110100000000…
…111011101001010000
32020110021012011021100
4111310000323221100
5340431314102330
614432022224400
71456254144150
oct256400735120
966407164240
1023421237840
119a29750710
124657885100
132293428420
1411c2820760
159212bb060
hex57403ba50

23421237840 has 480 divisors, whose sum is σ = 105611740416. Its totient is φ = 4492247040.

The previous prime is 23421237809. The next prime is 23421237869. The reversal of 23421237840 is 4873212432.

It is a happy number.

23421237840 is a `hidden beast` number, since 2 + 34 + 212 + 378 + 40 = 666.

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 = 23421237795 and 23421237804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704472 + ... + 736968.

Almost surely, 223421237840 is an apocalyptic number.

23421237840 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 23421237840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52805870208).

23421237840 is an abundant number, since it is smaller than the sum of its proper divisors (82190502576).

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

23421237840 is a wasteful number, since it uses less digits than its factorization.

23421237840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32547 (or 32538 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23421237840 in words is "twenty-three billion, four hundred twenty-one million, two hundred thirty-seven thousand, eight hundred forty".