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46720027368 = 23337176183359
BaseRepresentation
bin101011100000101110…
…110000101011101000
311110120222222022001000
4223200232300223220
51231140311333433
633243552155000
73242523452220
oct534056605350
9143528868030
1046720027368
11188a5268073
12907a538a60
134537380411
142392c89080
15133694b113
hexae0bb0ae8

46720027368 has 512 divisors, whose sum is σ = 161989632000. Its totient is φ = 12174520320.

The previous prime is 46720027349. The next prime is 46720027373. The reversal of 46720027368 is 86372002764.

46720027368 is a `hidden beast` number, since 4 + 67 + 200 + 27 + 368 = 666.

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 127 ways as a sum of consecutive naturals, for example, 130139173 + ... + 130139531.

It is an arithmetic number, because the mean of its divisors is an integer number (316386000).

Almost surely, 246720027368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46720027368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816000).

46720027368 is an abundant number, since it is smaller than the sum of its proper divisors (115269604632).

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

46720027368 is a wasteful number, since it uses less digits than its factorization.

46720027368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 46720027368 in words is "forty-six billion, seven hundred twenty million, twenty-seven thousand, three hundred sixty-eight".