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42523355515000 = 235447199390793
BaseRepresentation
bin10011010101100101111011…
…00000000000100001111000
312120120012012202111200000011
421222302331200000201320
521033200313002440000
6230234543154151304
711646132251034553
oct1152627540004170
9176505182450004
1042523355515000
1112605065674468
124929389882534
131a95c208a3259
14a701d9d8169a
154db1e3e652ba
hex26acbd800878

42523355515000 has 160 divisors (see below), whose sum is σ = 101804232467520. Its totient is φ = 16638905088000.

The previous prime is 42523355514947. The next prime is 42523355515027. The reversal of 42523355515000 is 51555332524.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 468309604 + ... + 468400396.

It is an arithmetic number, because the mean of its divisors is an integer number (636276452922).

Almost surely, 242523355515000 is an apocalyptic number.

42523355515000 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 42523355515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50902116233760).

42523355515000 is an abundant number, since it is smaller than the sum of its proper divisors (59280876952520).

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

42523355515000 is a wasteful number, since it uses less digits than its factorization.

42523355515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92859 (or 92840 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 42523355515000 in words is "forty-two trillion, five hundred twenty-three billion, three hundred fifty-five million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 940 1000 1175 1250 1880 1993 2350 2500 3986 4700 5000 5875 7972 9400 9965 11750 15944 19930 23500 29375 39860 47000 49825 58750 79720 90793 93671 99650 117500 181586 187342 199300 235000 249125 363172 374684 398600 453965 468355 498250 726344 749368 907930 936710 996500 1245625 1815860 1873420 1993000 2269825 2341775 2491250 3631720 3746840 4267271 4539650 4683550 4982500 8534542 9079300 9367100 9965000 11349125 11708875 17069084 18158600 18734200 21336355 22698250 23417750 34138168 42672710 45396500 46835500 56745625 58544375 85345420 90793000 93671000 106681775 113491250 117088750 170690840 180950449 213363550 226982500 234177500 361900898 426727100 453965000 468355000 533408875 723801796 853454200 904752245 1066817750 1447603592 1809504490 2133635500 2667044375 3619008980 4267271000 4523761225 5334088750 7238017960 8504671103 9047522450 10668177500 17009342206 18095044900 21336355000 22618806125 34018684412 36190089800 42523355515 45237612250 68037368824 85046711030 90475224500 113094030625 170093422060 180950449000 212616777575 226188061250 340186844120 425233555150 452376122500 850467110300 904752245000 1063083887875 1700934220600 2126167775750 4252335551500 5315419439375 8504671103000 10630838878750 21261677757500 42523355515000