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46916189820 = 2235523974327
BaseRepresentation
bin101011101100011011…
…000011111001111100
311111002200002101100000
4223230123003321330
51232041021033240
633315240434300
73250425014343
oct535433037174
9144080071300
1046916189820
1118995a698a5
129114178990
134568bc2a86
1423b0d4cb5a
151348c98430
hexaec6c3e7c

46916189820 has 288 divisors, whose sum is σ = 155623523328. Its totient is φ = 11840919552.

The previous prime is 46916189809. The next prime is 46916189891. The reversal of 46916189820 is 2898161964.

It is a super-2 number, since 2×469161898202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10840497 + ... + 10844823.

It is an arithmetic number, because the mean of its divisors is an integer number (540359456).

Almost surely, 246916189820 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 46916189820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77811761664).

46916189820 is an abundant number, since it is smaller than the sum of its proper divisors (108707333508).

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

46916189820 is a wasteful number, since it uses less digits than its factorization.

46916189820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 46916189820 in words is "forty-six billion, nine hundred sixteen million, one hundred eighty-nine thousand, eight hundred twenty".