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15042410250 = 235379672963
BaseRepresentation
bin11100000001001100…
…01111011100001010
31102211022221121121120
432000212033130022
5221301324112000
610524351020110
71041523243320
oct160046173412
942738847546
1015042410250
11641a05950a
122ab980a636
13155957798a
14a29b03d10
155d08e06a0
hex38098f70a

15042410250 has 128 divisors (see below), whose sum is σ = 42968420352. Its totient is φ = 3433550400.

The previous prime is 15042410239. The next prime is 15042410291. The reversal of 15042410250 is 5201424051.

It is a super-2 number, since 2×150424102502 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 15042410250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5075269 + ... + 5078231.

It is an arithmetic number, because the mean of its divisors is an integer number (335690784).

Almost surely, 215042410250 is an apocalyptic number.

15042410250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15042410250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484210176).

15042410250 is an abundant number, since it is smaller than the sum of its proper divisors (27926010102).

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

15042410250 is a wasteful number, since it uses less digits than its factorization.

15042410250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 15042410250 in words is "fifteen billion, forty-two million, four hundred ten thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 967 1050 1750 1934 2625 2901 2963 4835 5250 5802 5926 6769 8889 9670 13538 14505 14815 17778 20307 20741 24175 29010 29630 33845 40614 41482 44445 48350 62223 67690 72525 74075 88890 101535 103705 120875 124446 145050 148150 169225 203070 207410 222225 241750 311115 338450 362625 370375 444450 507675 518525 622230 725250 740750 846125 1015350 1037050 1111125 1555575 1692250 2222250 2538375 2592625 2865221 3111150 5076750 5185250 5730442 7777875 8595663 14326105 15555750 17191326 20056547 28652210 40113094 42978315 60169641 71630525 85956630 100282735 120339282 143261050 200565470 214891575 300848205 358152625 429783150 501413675 601696410 716305250 1002827350 1074457875 1504241025 2148915750 2507068375 3008482050 5014136750 7521205125 15042410250