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23429844480 = 293573711779
BaseRepresentation
bin10101110100100001…
…110000111000000000
32020110212101102100210
4111310201300320000
5340441020010410
614432530514120
71456420251330
oct256441607000
966425342323
1023429844480
119a33599a39
12465a735940
13229514ca03
1411c3a210c0
15921e1b220
hex574870e00

23429844480 has 320 divisors, whose sum is σ = 87923658240. Its totient is φ = 5210210304.

The previous prime is 23429844479. The next prime is 23429844481. The reversal of 23429844480 is 8444892432.

It is an interprime number because it is at equal distance from previous prime (23429844479) and next prime (23429844481).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×234298444802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23429844481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983231 + ... + 1995009.

It is an arithmetic number, because the mean of its divisors is an integer number (274761432).

Almost surely, 223429844480 is an apocalyptic number.

23429844480 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 23429844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43961829120).

23429844480 is an abundant number, since it is smaller than the sum of its proper divisors (64493813760).

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

23429844480 is a wasteful number, since it uses less digits than its factorization.

23429844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 23429844480 in words is "twenty-three billion, four hundred twenty-nine million, eight hundred forty-four thousand, four hundred eighty".