Search a number
-
+
45045710976 = 273723789727
BaseRepresentation
bin101001111100111011…
…110000000010000000
311022021022110012201210
4221330323300002000
51214223200222401
632405501530120
73153163140300
oct517473600200
9138238405653
1045045710976
1118116147412
128891873940
13432b527266
14227476b600
15128996c4d6
hexa7cef0080

45045710976 has 384 divisors, whose sum is σ = 144754646400. Its totient is φ = 12364627968.

The previous prime is 45045710953. The next prime is 45045710987. The reversal of 45045710976 is 67901754054.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61960725 + ... + 61961451.

It is an arithmetic number, because the mean of its divisors is an integer number (376965225).

Almost surely, 245045710976 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 45045710976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72377323200).

45045710976 is an abundant number, since it is smaller than the sum of its proper divisors (99708935424).

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

45045710976 is a wasteful number, since it uses less digits than its factorization.

45045710976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 45045710976 in words is "forty-five billion, forty-five million, seven hundred ten thousand, nine hundred seventy-six".