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46029450720 = 25351123933643
BaseRepresentation
bin101010110111100100…
…011010110111100000
311101210212112100222010
4222313210122313200
51223232014410340
633051242512520
73216436606221
oct526744326740
9141725470863
1046029450720
1118580474670
128b07205740
134457290296
142329285248
1512e5edab80
hexab791ade0

46029450720 has 192 divisors, whose sum is σ = 158283465984. Its totient is φ = 11150929920.

The previous prime is 46029450667. The next prime is 46029450737. The reversal of 46029450720 is 2705492064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12633219 + ... + 12636861.

It is an arithmetic number, because the mean of its divisors is an integer number (824393052).

Almost surely, 246029450720 is an apocalyptic number.

46029450720 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 46029450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79141732992).

46029450720 is an abundant number, since it is smaller than the sum of its proper divisors (112254015264).

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

46029450720 is a wasteful number, since it uses less digits than its factorization.

46029450720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 46029450720 in words is "forty-six billion, twenty-nine million, four hundred fifty thousand, seven hundred twenty".