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46653946248 = 23376133141
BaseRepresentation
bin101011011100110010…
…101011100110001000
311110102101122000210010
4223130302223212020
51231021402234443
633233231551520
73241062000000
oct533462534610
9143371560703
1046653946248
1118870a33378
12906038b5a0
134526784570
1423881a7000
151330c46733
hexadccab988

46653946248 has 448 divisors, whose sum is σ = 154957662720. Its totient is φ = 11616998400.

The previous prime is 46653946247. The next prime is 46653946271. The reversal of 46653946248 is 84264935664.

46653946248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×466539462482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46653946247) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1137901108 + ... + 1137901148.

It is an arithmetic number, because the mean of its divisors is an integer number (345887640).

Almost surely, 246653946248 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 46653946248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77478831360).

46653946248 is an abundant number, since it is smaller than the sum of its proper divisors (108303716472).

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

46653946248 is an equidigital number, since it uses as much as digits as its factorization.

46653946248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 57.

The spelling of 46653946248 in words is "forty-six billion, six hundred fifty-three million, nine hundred forty-six thousand, two hundred forty-eight".