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19538142000 = 2435313250489
BaseRepresentation
bin10010001100100100…
…000110001100110000
31212102122110110011220
4102030210012030300
5310003231021000
612550430105040
71261113316056
oct221444061460
955378413156
1019538142000
1183168542a3
12395334b180
131ac4ab8790
14d34c1c1d6
157954391a0
hex48c906330

19538142000 has 160 divisors (see below), whose sum is σ = 67836699840. Its totient is φ = 4809369600.

The previous prime is 19538141999. The next prime is 19538142031. The reversal of 19538142000 is 24183591.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47245 + ... + 203244.

It is an arithmetic number, because the mean of its divisors is an integer number (423979374).

Almost surely, 219538142000 is an apocalyptic number.

19538142000 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 19538142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33918349920).

19538142000 is an abundant number, since it is smaller than the sum of its proper divisors (48298557840).

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

19538142000 is a wasteful number, since it uses less digits than its factorization.

19538142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250528 (or 250512 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 19538142000 in words is "nineteen billion, five hundred thirty-eight million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 250489 500978 751467 1001956 1252445 1502934 2003912 2504890 3005868 3256357 3757335 4007824 5009780 6011736 6262225 6512714 7514670 9769071 10019560 12023472 12524450 13025428 15029340 16281785 18786675 19538142 20039120 25048900 26050856 30058680 31311125 32563570 37573350 39076284 48845355 50097800 52101712 60117360 62622250 65127140 75146700 78152568 81408925 93933375 97690710 100195600 125244500 130254280 150293400 156305136 162817850 187866750 195381420 244226775 250489000 260508560 300586800 325635700 375733500 390762840 407044625 488453550 500978000 651271400 751467000 781525680 814089250 976907100 1221133875 1302542800 1502934000 1628178500 1953814200 2442267750 3256357000 3907628400 4884535500 6512714000 9769071000 19538142000