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10426371000 = 233537347609
BaseRepresentation
bin10011011010111010…
…11100101110111000
3222220122001112011220
421231131130232320
5132323122333000
64442333152040
7516242456043
oct115535345670
928818045156
1010426371000
114470461941
12202b92b620
13ca2132cc6
1470ca2dc5a
154105301a0
hex26d75cbb8

10426371000 has 128 divisors (see below), whose sum is σ = 32976590400. Its totient is φ = 2742220800.

The previous prime is 10426370987. The next prime is 10426371001. The reversal of 10426371000 is 17362401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426371001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195196 + ... + 242804.

Almost surely, 210426371000 is an apocalyptic number.

10426371000 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 10426371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488295200).

10426371000 is an abundant number, since it is smaller than the sum of its proper divisors (22550219400).

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

10426371000 is a wasteful number, since it uses less digits than its factorization.

10426371000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47706 (or 47692 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 10426371000 in words is "ten billion, four hundred twenty-six million, three hundred seventy-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 47609 54750 73000 95218 109500 142827 190436 219000 238045 285654 380872 476090 571308 714135 952180 1142616 1190225 1428270 1904360 2380450 2856540 3475457 3570675 4760900 5713080 5951125 6950914 7141350 9521800 10426371 11902250 13901828 14282700 17377285 17853375 20852742 23804500 27803656 28565400 34754570 35706750 41705484 47609000 52131855 69509140 71413500 83410968 86886425 104263710 139018280 142827000 173772850 208527420 260659275 347545700 417054840 434432125 521318550 695091400 868864250 1042637100 1303296375 1737728500 2085274200 2606592750 3475457000 5213185500 10426371000