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46845505980 = 22355713731451
BaseRepresentation
bin101011101000001101…
…011011000110111100
311110220202002021100000
4223220031123012330
51231414422142410
633304233434300
73245606142120
oct535015330674
9143822067300
1046845505980
111895a080aa9
1290b456b990
134557374c10
1423a57cd580
151342984dc0
hexae835b1bc

46845505980 has 576 divisors, whose sum is σ = 183978482688. Its totient is φ = 9741772800.

The previous prime is 46845505979. The next prime is 46845505999. The reversal of 46845505980 is 8950554864.

46845505980 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 550 + 5 + 9 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32284255 + ... + 32285705.

It is an arithmetic number, because the mean of its divisors is an integer number (319407088).

Almost surely, 246845505980 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 46845505980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91989241344).

46845505980 is an abundant number, since it is smaller than the sum of its proper divisors (137132976708).

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

46845505980 is a wasteful number, since it uses less digits than its factorization.

46845505980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 46845505980 in words is "forty-six billion, eight hundred forty-five million, five hundred five thousand, nine hundred eighty".