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48406659840 = 28325711441
BaseRepresentation
bin101101000101010000…
…110000001100000000
311121221112200002211100
4231011100300030000
51243114101103330
634123202414400
73332363551110
oct550520601400
9147845602740
1048406659840
1119590330000
12946b361400
1347459293b6
1424b2c91040
1513d4a5e060
hexb45430300

48406659840 has 1080 divisors, whose sum is σ = 215682798240. Its totient is φ = 9813196800.

The previous prime is 48406659781. The next prime is 48406659859. The reversal of 48406659840 is 4895660484.

48406659840 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 6 + 6 + 598 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1180650220 + ... + 1180650260.

Almost surely, 248406659840 is an apocalyptic number.

48406659840 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 48406659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107841399120).

48406659840 is an abundant number, since it is smaller than the sum of its proper divisors (167276138400).

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

48406659840 is an equidigital number, since it uses as much as digits as its factorization.

48406659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48406659840 in words is "forty-eight billion, four hundred six million, six hundred fifty-nine thousand, eight hundred forty".