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46969302016 = 2107213229191
BaseRepresentation
bin101011101111100101…
…101010110000000000
311111020101000202120101
4223233211222300000
51232143120131031
633324415052144
73251641323400
oct535745526000
9144211022511
1046969302016
1118a12a4587a
129129b11054
134576bca900
1423b8016800
15134d78a361
hexaef96ac00

46969302016 has 396 divisors, whose sum is σ = 122989000320. Its totient is φ = 17846599680.

The previous prime is 46969301909. The next prime is 46969302019. The reversal of 46969302016 is 61020396964.

It is a super-2 number, since 2×469693020162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46969302019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245912481 + ... + 245912671.

Almost surely, 246969302016 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 46969302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494500160).

46969302016 is an abundant number, since it is smaller than the sum of its proper divisors (76019698304).

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

46969302016 is a wasteful number, since it uses less digits than its factorization.

46969302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 46969302016 in words is "forty-six billion, nine hundred sixty-nine million, three hundred two thousand, sixteen".