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9946070280 = 23325414315671
BaseRepresentation
bin10010100001101010…
…01111110100001000
3221200011021201110100
421100311033310020
5130332143222110
64322534445400
7501321126306
oct112065176410
927604251410
109946070280
11424432a8a3
121b16b03860
13c267874b3
146a4d25276
153d32a8bc0
hex250d4fd08

9946070280 has 192 divisors, whose sum is σ = 33885371520. Its totient is φ = 2527257600.

The previous prime is 9946070263. The next prime is 9946070333. The reversal of 9946070280 is 820706499.

It is a happy number.

9946070280 is a nontrivial binomial coefficient, being equal to C(141040, 2).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 626845 + ... + 642515.

It is an arithmetic number, because the mean of its divisors is an integer number (176486310).

Almost surely, 29946070280 is an apocalyptic number.

9946070280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9946070280 is the 141039-th triangular number and also the 70520-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946070280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16942685760).

9946070280 is an abundant number, since it is smaller than the sum of its proper divisors (23939301240).

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

9946070280 is a wasteful number, since it uses less digits than its factorization.

9946070280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 15765 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9946070280 is about 99729.9868645334. The cubic root of 9946070280 is about 2150.5547715668.

The spelling of 9946070280 in words is "nine billion, nine hundred forty-six million, seventy thousand, two hundred eighty".