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46340502000 = 24353133716057
BaseRepresentation
bin101011001010000110…
…111111000111110000
311102121112211102002220
4223022012333013300
51224401132031000
633142153441040
73230234524242
oct531206770760
9142545742086
1046340502000
1118720007041
128b93410180
1344a685a2b0
1423586d4092
15131347e1a0
hexaca1bf1f0

46340502000 has 320 divisors, whose sum is σ = 165253006464. Its totient is φ = 11097907200.

The previous prime is 46340501989. The next prime is 46340502001. The reversal of 46340502000 is 20504364.

It is a super-2 number, since 2×463405020002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46340502001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2877972 + ... + 2894028.

Almost surely, 246340502000 is an apocalyptic number.

46340502000 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 46340502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82626503232).

46340502000 is an abundant number, since it is smaller than the sum of its proper divisors (118912504464).

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

46340502000 is a wasteful number, since it uses less digits than its factorization.

46340502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16133 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 46340502000 in words is "forty-six billion, three hundred forty million, five hundred two thousand".