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42327967248 = 2432741992031
BaseRepresentation
bin100111011010111100…
…011000011000010000
311001020220112112012200
4213122330120120100
51143141424422443
631240055123200
73025632533220
oct473274303020
9131226475180
1042327967248
1116a51041316
128253673500
133cb746a388
14209783a080
15117b07edd3
hex9daf18610

42327967248 has 60 divisors (see below), whose sum is σ = 135382311168. Its totient is φ = 12093704640.

The previous prime is 42327967243. The next prime is 42327967249. The reversal of 42327967248 is 84276972324.

42327967248 is a `hidden beast` number, since 423 + 27 + 96 + 72 + 48 = 666.

It is a super-2 number, since 2×423279672482 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42327967194 and 42327967203.

It is not an unprimeable number, because it can be changed into a prime (42327967243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20995008 + ... + 20997023.

Almost surely, 242327967248 is an apocalyptic number.

42327967248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42327967248 is an abundant number, since it is smaller than the sum of its proper divisors (93054343920).

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

42327967248 is a wasteful number, since it uses less digits than its factorization.

42327967248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41992052 (or 41992043 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 42327967248 in words is "forty-two billion, three hundred twenty-seven million, nine hundred sixty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 41992031 83984062 125976093 167968124 251952186 293944217 335936248 377928279 503904372 587888434 671872496 755856558 881832651 1007808744 1175776868 1511713116 1763665302 2015617488 2351553736 2645497953 3023426232 3527330604 4703107472 5290995906 6046852464 7054661208 10581991812 14109322416 21163983624 42327967248