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9919469952 = 27357291571
BaseRepresentation
bin10010011110011111…
…10001100110000000
3221121022020021200000
421033033301212000
5130303341014302
64320144400000
7500546050320
oct111717614600
927538207600
109919469952
114230311657
121b0a016000
13c21102a62
146a159d280
153d0ca231c
hex24f3f1980

9919469952 has 384 divisors, whose sum is σ = 35019129600. Its totient is φ = 2734663680.

The previous prime is 9919469941. The next prime is 9919469977. The reversal of 9919469952 is 2599649199.

It is a happy number.

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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9919469952.

It is a congruent number.

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, 6313327 + ... + 6314897.

It is an arithmetic number, because the mean of its divisors is an integer number (91195650).

Almost surely, 29919469952 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 9919469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509564800).

9919469952 is an abundant number, since it is smaller than the sum of its proper divisors (25099659648).

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

9919469952 is a wasteful number, since it uses less digits than its factorization.

9919469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1612 counting only the distinct ones).

The product of its digits is 14171760, while the sum is 63.

The square root of 9919469952 is about 99596.5358433716. The cubic root of 9919469952 is about 2148.6358717926.

The spelling of 9919469952 in words is "nine billion, nine hundred nineteen million, four hundred sixty-nine thousand, nine hundred fifty-two".