Search a number
-
+
126001605000 = 2335454115527
BaseRepresentation
bin111010101011001000…
…1111110100110001000
3110001020021020201211010
41311112101332212020
54031022402330000
6133515003403520
712050302654035
oct1652621764610
9401207221733
10126001605000
1149489691857
12205058235a0
13bb606c582b
14615445238c
153426d08d50
hex1d5647e988

126001605000 has 160 divisors (see below), whose sum is σ = 394382007360. Its totient is φ = 33536160000.

The previous prime is 126001604983. The next prime is 126001605017. The reversal of 126001605000 is 506100621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126001604983) and next prime (126001605017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8107237 + ... + 8122763.

It is an arithmetic number, because the mean of its divisors is an integer number (2464887546).

Almost surely, 2126001605000 is an apocalyptic number.

126001605000 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 126001605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197191003680).

126001605000 is an abundant number, since it is smaller than the sum of its proper divisors (268380402360).

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

126001605000 is a wasteful number, since it uses less digits than its factorization.

126001605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16097 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 126001605000 its reverse (506100621), we get a palindrome (126507705621).

The spelling of 126001605000 in words is "one hundred twenty-six billion, one million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 541 600 625 750 1000 1082 1250 1500 1623 1875 2164 2500 2705 3000 3246 3750 4328 5000 5410 6492 7500 8115 10820 12984 13525 15000 15527 16230 21640 27050 31054 32460 40575 46581 54100 62108 64920 67625 77635 81150 93162 108200 124216 135250 155270 162300 186324 202875 232905 270500 310540 324600 338125 372648 388175 405750 465810 541000 621080 676250 776350 811500 931620 1014375 1164525 1352500 1552700 1623000 1863240 1940875 2028750 2329050 2705000 3105400 3881750 4057500 4658100 5822625 7763500 8115000 8400107 9316200 9704375 11645250 15527000 16800214 19408750 23290500 25200321 29113125 33600428 38817500 42000535 46581000 50400642 58226250 67200856 77635000 84001070 100801284 116452500 126001605 168002140 201602568 210002675 232905000 252003210 336004280 420005350 504006420 630008025 840010700 1008012840 1050013375 1260016050 1680021400 2100026750 2520032100 3150040125 4200053500 5040064200 5250066875 6300080250 8400107000 10500133750 12600160500 15750200625 21000267500 25200321000 31500401250 42000535000 63000802500 126001605000