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15204201040 = 2457167162577
BaseRepresentation
bin11100010100011110…
…11011001001010000
31110020121101102212001
432022033123021100
5222114233413130
610552410443344
71045526401510
oct161217331120
943217342761
1015204201040
1164a2414306
122b43a33554
131583c44582
14a433bb840
155debed6ca
hex38a3db250

15204201040 has 80 divisors (see below), whose sum is σ = 40641898752. Its totient is φ = 5181622272.

The previous prime is 15204200983. The next prime is 15204201043. The reversal of 15204201040 is 4010240251.

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

It is a junction number, because it is equal to n+sod(n) for n = 15204200999 and 15204201017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15204201043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12232 + ... + 174808.

Almost surely, 215204201040 is an apocalyptic number.

15204201040 is a gapful number since it is divisible by the number (10) 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 15204201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320949376).

15204201040 is an abundant number, since it is smaller than the sum of its proper divisors (25437697712).

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

15204201040 is a wasteful number, since it uses less digits than its factorization.

15204201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162764 (or 162758 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 15204201040 its reverse (4010240251), we get a palindrome (19214441291).

The spelling of 15204201040 in words is "fifteen billion, two hundred four million, two hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2672 3340 4676 5845 6680 9352 11690 13360 18704 23380 46760 93520 162577 325154 650308 812885 1138039 1300616 1625770 2276078 2601232 3251540 4552156 5690195 6503080 9104312 11380390 13006160 18208624 22760780 27150359 45521560 54300718 91043120 108601436 135751795 190052513 217202872 271503590 380105026 434405744 543007180 760210052 950262565 1086014360 1520420104 1900525130 2172028720 3040840208 3801050260 7602100520 15204201040