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23429873376 = 25377132283
BaseRepresentation
bin10101110100100001…
…110111111011100000
32020110212102220000000
4111310201313323200
5340441021422001
614432531300000
71456420431510
oct256441677340
966425386000
1023429873376
119a33609718
12465a74a600
13229515cc00
1411c3a2b840
15921e24a86
hex574877ee0

23429873376 has 576 divisors, whose sum is σ = 85915952640. Its totient is φ = 6157472256.

The previous prime is 23429873317. The next prime is 23429873447. The reversal of 23429873376 is 67337892432.

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

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 82790931 + ... + 82791213.

It is an arithmetic number, because the mean of its divisors is an integer number (149159640).

Almost surely, 223429873376 is an apocalyptic number.

23429873376 is a gapful number since it is divisible by the number (26) 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 23429873376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42957976320).

23429873376 is an abundant number, since it is smaller than the sum of its proper divisors (62486079264).

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

23429873376 is an equidigital number, since it uses as much as digits as its factorization.

23429873376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 308 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 23429873376 in words is "twenty-three billion, four hundred twenty-nine million, eight hundred seventy-three thousand, three hundred seventy-six".