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45201420666 = 232173759157431
BaseRepresentation
bin101010000110001101…
…101111000101111010
311022200011110002021100
4222012031233011322
51220033030430131
632433143152230
73160063510353
oct520615570572
9138604402240
1045201420666
1118196029406
128915a45676
134354874c7c
14228b300d2a
1512984787e6
hexa8636f17a

45201420666 has 192 divisors, whose sum is σ = 109247823360. Its totient is φ = 13446051840.

The previous prime is 45201420661. The next prime is 45201420709. The reversal of 45201420666 is 66602410254.

It is a self number, because there is not a number n which added to its sum of digits gives 45201420666.

It is not an unprimeable number, because it can be changed into a prime (45201420661) 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 95 ways as a sum of consecutive naturals, for example, 104875471 + ... + 104875901.

It is an arithmetic number, because the mean of its divisors is an integer number (568999080).

Almost surely, 245201420666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45201420666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54623911680).

45201420666 is an abundant number, since it is smaller than the sum of its proper divisors (64046402694).

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

45201420666 is a wasteful number, since it uses less digits than its factorization.

45201420666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45201420666 in words is "forty-five billion, two hundred one million, four hundred twenty thousand, six hundred sixty-six".