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46379697364 = 227211213178849
BaseRepresentation
bin101011001100011100…
…100000010011010100
311102201021120202001001
4223030130200103110
51224441200303424
633150113513044
73231221631400
oct531434402324
9142637522031
1046379697364
1118740148100
128ba4572784
1344b1a01810
14235d9b8100
151316b22844
hexacc7204d4

46379697364 has 216 divisors, whose sum is σ = 118350023400. Its totient is φ = 15697059840.

The previous prime is 46379697341. The next prime is 46379697373.

46379697364 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 29052100 + 46350645264 = 5390^2 + 215292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46379697296 and 46379697305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5236812 + ... + 5245660.

It is an arithmetic number, because the mean of its divisors is an integer number (547916775).

Almost surely, 246379697364 is an apocalyptic number.

46379697364 is a gapful number since it is divisible by the number (44) 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 46379697364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59175011700).

46379697364 is an abundant number, since it is smaller than the sum of its proper divisors (71970326036).

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

46379697364 is a wasteful number, since it uses less digits than its factorization.

46379697364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919 (or 8899 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 64.

The spelling of 46379697364 in words is "forty-six billion, three hundred seventy-nine million, six hundred ninety-seven thousand, three hundred sixty-four".