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24904742000 = 245326214751
BaseRepresentation
bin10111001100011100…
…000011010001110000
32101021122122222101212
4113030130003101300
5402001103221000
615235135015252
71541106546155
oct271434032160
971248588355
1024904742000
11a620094306
1249b066a528
13246b893238
1412c386c22c
159ab657c35
hex5cc703470

24904742000 has 80 divisors (see below), whose sum is σ = 60255321984. Its totient is φ = 9956000000.

The previous prime is 24904741973. The next prime is 24904742041. The reversal of 24904742000 is 24740942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5239625 + ... + 5244375.

Almost surely, 224904742000 is an apocalyptic number.

24904742000 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 24904742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30127660992).

24904742000 is an abundant number, since it is smaller than the sum of its proper divisors (35350579984).

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

24904742000 is a wasteful number, since it uses less digits than its factorization.

24904742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 24904742000 in words is "twenty-four billion, nine hundred four million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2621 4751 5242 9502 10484 13105 19004 20968 23755 26210 38008 41936 47510 52420 65525 76016 95020 104840 118775 131050 190040 209680 237550 262100 327625 380080 475100 524200 593875 655250 950200 1048400 1187750 1310500 1900400 2375500 2621000 4751000 5242000 9502000 12452371 24904742 49809484 62261855 99618968 124523710 199237936 249047420 311309275 498094840 622618550 996189680 1245237100 1556546375 2490474200 3113092750 4980948400 6226185500 12452371000 24904742000