Search a number
-
+
38962338000 = 2435310760689
BaseRepresentation
bin100100010010010101…
…100001100011010000
310201120100111211211120
4210102111201203100
51114243324304000
625522110042240
72546344260105
oct442225414320
9121510454746
1038962338000
1115584251243
1276744a9380
13389c0b9a91
141c58858aac
1510308666a0
hex9125618d0

38962338000 has 160 divisors (see below), whose sum is σ = 126790634880. Its totient is φ = 10292684800.

The previous prime is 38962337993. The next prime is 38962338017. The reversal of 38962338000 is 83326983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611656 + ... + 672344.

It is an arithmetic number, because the mean of its divisors is an integer number (792441468).

Almost surely, 238962338000 is an apocalyptic number.

38962338000 is a gapful number since it is divisible by the number (30) 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 38962338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63395317440).

38962338000 is an abundant number, since it is smaller than the sum of its proper divisors (87828296880).

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

38962338000 is a wasteful number, since it uses less digits than its factorization.

38962338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60822 (or 60806 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 38962338000 in words is "thirty-eight billion, nine hundred sixty-two million, three hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1000 1070 1200 1284 1500 1605 1712 2000 2140 2568 2675 3000 3210 4280 5136 5350 6000 6420 8025 8560 10700 12840 13375 16050 21400 25680 26750 32100 40125 42800 53500 60689 64200 80250 107000 121378 128400 160500 182067 214000 242756 303445 321000 364134 485512 606890 642000 728268 910335 971024 1213780 1456536 1517225 1820670 2427560 2913072 3034450 3641340 4551675 4855120 6068900 6493723 7282680 7586125 9103350 12137800 12987446 14565360 15172250 18206700 19481169 22758375 24275600 25974892 30344500 32468615 36413400 38962338 45516750 51949784 60689000 64937230 72826800 77924676 91033500 97405845 103899568 121378000 129874460 155849352 162343075 182067000 194811690 259748920 311698704 324686150 364134000 389623380 487029225 519497840 649372300 779246760 811715375 974058450 1298744600 1558493520 1623430750 1948116900 2435146125 2597489200 3246861500 3896233800 4870292250 6493723000 7792467600 9740584500 12987446000 19481169000 38962338000