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46941812736 = 2113713113743
BaseRepresentation
bin101011101101111100…
…110011100000000000
311111011110022011100220
4223231330303200000
51232114101001421
633321553543040
73251155552620
oct535574634000
9144143264326
1046941812736
11189a947a765
129120874a80
1345712c4670
1423b44dc880
15134b15a3c6
hexaedf33800

46941812736 has 384 divisors, whose sum is σ = 155600040960. Its totient is φ = 12254183424.

The previous prime is 46941812689. The next prime is 46941812741. The reversal of 46941812736 is 63721814964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63178381 + ... + 63179123.

It is an arithmetic number, because the mean of its divisors is an integer number (405208440).

Almost surely, 246941812736 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 46941812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77800020480).

46941812736 is an abundant number, since it is smaller than the sum of its proper divisors (108658228224).

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

46941812736 is a wasteful number, since it uses less digits than its factorization.

46941812736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 881 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 46941812736 in words is "forty-six billion, nine hundred forty-one million, eight hundred twelve thousand, seven hundred thirty-six".