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9973297152 = 21233713991
BaseRepresentation
bin10010100100111010…
…00111000000000000
3221202001111222201000
421102131013000000
5130411131002102
64325350212000
7502101425040
oct112235070000
927661458630
109973297152
114258736845
121b24054000
13c2c2cb180
146a87b1720
153d588601c
hex252747000

9973297152 has 416 divisors, whose sum is σ = 36402114560. Its totient is φ = 2627665920.

The previous prime is 9973297141. The next prime is 9973297177. The reversal of 9973297152 is 2517923799.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×99732971522 (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10063377 + ... + 10064367.

Almost surely, 29973297152 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 9973297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201057280).

9973297152 is an abundant number, since it is smaller than the sum of its proper divisors (26428817408).

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

9973297152 is a wasteful number, since it uses less digits than its factorization.

9973297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1016 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 9973297152 is about 99866.3965105380. The cubic root of 9973297152 is about 2152.5153292016.

The spelling of 9973297152 in words is "nine billion, nine hundred seventy-three million, two hundred ninety-seven thousand, one hundred fifty-two".