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46306702080 = 28355533
BaseRepresentation
bin101011001000000110…
…000011001100000000
311102112012020012100000
4223020012003030000
51224314003431310
633134545200000
73226344321222
oct531006031400
9142465205300
1046306702080
1118702a20721
128b84030000
13449c854842
142354016412
1513105044c0
hexac8183300

46306702080 has 432 divisors, whose sum is σ = 169345481760. Its totient is φ = 12115464192.

The previous prime is 46306702007. The next prime is 46306702081. The reversal of 46306702080 is 8020760364.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46306702081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 873711334 + ... + 873711386.

It is an arithmetic number, because the mean of its divisors is an integer number (392003430).

Almost surely, 246306702080 is an apocalyptic number.

46306702080 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 46306702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672740880).

46306702080 is an abundant number, since it is smaller than the sum of its proper divisors (123038779680).

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

46306702080 is an frugal number, since it uses more digits than its factorization.

46306702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 46306702080 in words is "forty-six billion, three hundred six million, seven hundred two thousand, eighty".