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46390470720 = 2635112616547
BaseRepresentation
bin101011001101000101…
…100110100001000000
311102202000212002022020
4223031011212201000
51230001430030340
633151140441440
73231412331526
oct531505464100
9142660762266
1046390470720
1118746236300
128ba80a9280
1344b4004399
1423611c0316
151317a4e9d0
hexacd166840

46390470720 has 336 divisors, whose sum is σ = 164576174784. Its totient is φ = 11060121600.

The previous prime is 46390470673. The next prime is 46390470727. The reversal of 46390470720 is 2707409364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46390470727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7082487 + ... + 7089033.

It is an arithmetic number, because the mean of its divisors is an integer number (489810044).

Almost surely, 246390470720 is an apocalyptic number.

46390470720 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 46390470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82288087392).

46390470720 is an abundant number, since it is smaller than the sum of its proper divisors (118185704064).

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

46390470720 is a wasteful number, since it uses less digits than its factorization.

46390470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 46390470720 in words is "forty-six billion, three hundred ninety million, four hundred seventy thousand, seven hundred twenty".