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46027204608 = 2113711175997
BaseRepresentation
bin101010110111011011…
…110110100000000000
311101210201022020212210
4222313123312200000
51223230431021413
633051122422120
73216411532620
oct526733664000
9141721266783
1046027204608
111857a180080
128b06501940
134456984b18
142328c5c880
1512e5be53c3
hexab76f6800

46027204608 has 768 divisors, whose sum is σ = 166431283200. Its totient is φ = 10947133440.

The previous prime is 46027204583. The next prime is 46027204621. The reversal of 46027204608 is 80640272064.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474507216 + ... + 474507312.

It is an arithmetic number, because the mean of its divisors is an integer number (216707400).

Almost surely, 246027204608 is an apocalyptic number.

46027204608 is a gapful number since it is divisible by the number (48) 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 46027204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83215641600).

46027204608 is an abundant number, since it is smaller than the sum of its proper divisors (120404078592).

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

46027204608 is a wasteful number, since it uses less digits than its factorization.

46027204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 46027204608 in words is "forty-six billion, twenty-seven million, two hundred four thousand, six hundred eight".