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42373529920 = 265557237733
BaseRepresentation
bin100111011101101010…
…001100000101000000
311001101002021100110001
4213131222030011000
51143240110424140
631244403445344
73030025030051
oct473552140500
9131332240401
1042373529920
1116a74831217
128266986854
133cc3a30b37
14209d8da728
15118007ee9a
hex9dda8c140

42373529920 has 56 divisors (see below), whose sum is σ = 101083545864. Its totient is φ = 16918910976.

The previous prime is 42373529909. The next prime is 42373529923. The reversal of 42373529920 is 2992537324.

It can be written as a sum of positive squares in 4 ways, for example, as 1647061056 + 40726468864 = 40584^2 + 201808^2 .

It is a super-2 number, since 2×423735299202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42373529923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59374 + ... + 297106.

It is an arithmetic number, because the mean of its divisors is an integer number (1805063319).

Almost surely, 242373529920 is an apocalyptic number.

42373529920 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 42373529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50541772932).

42373529920 is an abundant number, since it is smaller than the sum of its proper divisors (58710015944).

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

42373529920 is a wasteful number, since it uses less digits than its factorization.

42373529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238307 (or 238297 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 42373529920 in words is "forty-two billion, three hundred seventy-three million, five hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 557 1114 2228 2785 4456 5570 8912 11140 17824 22280 35648 44560 89120 178240 237733 475466 950932 1188665 1901864 2377330 3803728 4754660 7607456 9509320 15214912 19018640 38037280 76074560 132417281 264834562 529669124 662086405 1059338248 1324172810 2118676496 2648345620 4237352992 5296691240 8474705984 10593382480 21186764960 42373529920