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9970042368 = 2931113192389
BaseRepresentation
bin10010100100100001…
…01100011000000000
3221201211101121222110
421102100230120000
5130404312323433
64325152335320
7502031650626
oct112220543000
927654347873
109970042368
114256913440
121b22b44540
13c2b72b870
146a81a5516
153d5441963
hex25242c600

9970042368 has 320 divisors, whose sum is σ = 32860396800. Its totient is φ = 2640936960.

The previous prime is 9970042333. The next prime is 9970042373. The reversal of 9970042368 is 8632400799.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4172118 + ... + 4174506.

It is an arithmetic number, because the mean of its divisors is an integer number (102688740).

Almost surely, 29970042368 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 9970042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430198400).

9970042368 is an abundant number, since it is smaller than the sum of its proper divisors (22890354432).

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

9970042368 is a wasteful number, since it uses less digits than its factorization.

9970042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 9970042368 is about 99850.0994891843. The cubic root of 9970042368 is about 2152.2811460417.

The spelling of 9970042368 in words is "nine billion, nine hundred seventy million, forty-two thousand, three hundred sixty-eight".