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43268126000 = 2453113163443
BaseRepresentation
bin101000010010111110…
…110011010100110000
311010200102121112120012
4220102332303110300
51202103120013000
631513242034052
73061140000641
oct502276632460
9133612545505
1043268126000
1117393802520
1284764a8928
134107184928
14214664b6c8
1511d3890735
hexa12fb3530

43268126000 has 160 divisors (see below), whose sum is σ = 117817030656. Its totient is φ = 15226080000.

The previous prime is 43268125993. The next prime is 43268126003. The reversal of 43268126000 is 62186234.

It is not an unprimeable number, because it can be changed into a prime (43268126003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650279 + ... + 713721.

Almost surely, 243268126000 is an apocalyptic number.

43268126000 is a gapful number since it is divisible by the number (40) 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 43268126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58908515328).

43268126000 is an abundant number, since it is smaller than the sum of its proper divisors (74548904656).

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

43268126000 is a wasteful number, since it uses less digits than its factorization.

43268126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63508 (or 63492 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 43268126000 in words is "forty-three billion, two hundred sixty-eight million, one hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 34100 42625 62000 63443 68200 85250 126886 136400 170500 253772 317215 341000 507544 634430 682000 697873 1015088 1268860 1395746 1586075 1966733 2537720 2791492 3172150 3489365 3933466 5075440 5582984 6344300 6978730 7866932 7930375 9833665 11165968 12688600 13957460 15733864 15860750 17446825 19667330 21634063 25377200 27914920 31467728 31721500 34893650 39334660 43268126 49168325 55829840 63443000 69787300 78669320 86536252 87234125 98336650 108170315 126886000 139574600 157338640 173072504 174468250 196673300 216340630 245841625 279149200 346145008 348936500 393346600 432681260 491683250 540851575 697873000 786693200 865362520 983366500 1081703150 1395746000 1730725040 1966733000 2163406300 2704257875 3933466000 4326812600 5408515750 8653625200 10817031500 21634063000 43268126000