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45464549900 = 225271129972099
BaseRepresentation
bin101010010101111001…
…011111101000001100
311100100111120102201112
4222111321133220030
51221102411044100
632515223031152
73166440204110
oct522571375014
9140314512645
1045464549900
111831060a290
128989b9b4b8
134397233643
1422b4237740
1512b1602b35
hexa95e5fa0c

45464549900 has 288 divisors, whose sum is σ = 128616768000. Its totient is φ = 13534617600.

The previous prime is 45464549861. The next prime is 45464549939. The reversal of 45464549900 is 994546454.

It is an interprime number because it is at equal distance from previous prime (45464549861) and next prime (45464549939).

It is a Harshad number since it is a multiple of its sum of digits (50).

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 95 ways as a sum of consecutive naturals, for example, 21659051 + ... + 21661149.

It is an arithmetic number, because the mean of its divisors is an integer number (446586000).

Almost surely, 245464549900 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 45464549900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64308384000).

45464549900 is an abundant number, since it is smaller than the sum of its proper divisors (83152218100).

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

45464549900 is a wasteful number, since it uses less digits than its factorization.

45464549900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 45464549900 in words is "forty-five billion, four hundred sixty-four million, five hundred forty-nine thousand, nine hundred".