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23450139720 = 233257219313761
BaseRepresentation
bin10101110101101111…
…001011110001001000
32020112021120112012100
4111311233023301020
5341011213432340
614434533513400
71460054620200
oct256557136110
966467515170
1023450139720
119a43aa1067
1246654a2860
132299407627
1411c65c5400
15923ac9830
hex575bcbc48

23450139720 has 1152 divisors, whose sum is σ = 100557849600. Its totient is φ = 4702924800.

The previous prime is 23450139719. The next prime is 23450139731. The reversal of 23450139720 is 2793105432.

23450139720 is a `hidden beast` number, since 2 + 3 + 450 + 139 + 72 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 384428490 + ... + 384428550.

It is an arithmetic number, because the mean of its divisors is an integer number (87289800).

Almost surely, 223450139720 is an apocalyptic number.

23450139720 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 23450139720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50278924800).

23450139720 is an abundant number, since it is smaller than the sum of its proper divisors (77107709880).

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

23450139720 is a wasteful number, since it uses less digits than its factorization.

23450139720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23450139720 in words is "twenty-three billion, four hundred fifty million, one hundred thirty-nine thousand, seven hundred twenty".