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9985085952 = 29310216367
BaseRepresentation
bin10010100110010100…
…00101001000000000
3221202212200220220020
421103022011020000
5130422140222302
64330451013440
7502303554522
oct112312051000
927685626806
109985085952
114264358956
121b27b9a280
13c31897caa
146aa19da12
153d6913ebc
hex253285200

9985085952 has 80 divisors (see below), whose sum is σ = 26631128832. Its totient is φ = 3324579840.

The previous prime is 9985085951. The next prime is 9985085959. The reversal of 9985085952 is 2595805899.

It is not an unprimeable number, because it can be changed into a prime (9985085951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1565073 + ... + 1571439.

Almost surely, 29985085952 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 9985085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315564416).

9985085952 is an abundant number, since it is smaller than the sum of its proper divisors (16646042880).

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

9985085952 is a wasteful number, since it uses less digits than its factorization.

9985085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 60.

The square root of 9985085952 is about 99925.4019356440. The cubic root of 9985085952 is about 2153.3631123905.

The spelling of 9985085952 in words is "nine billion, nine hundred eighty-five million, eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1021 1536 2042 3063 4084 6126 6367 8168 12252 12734 16336 19101 24504 25468 32672 38202 49008 50936 65344 76404 98016 101872 130688 152808 196032 203744 261376 305616 392064 407488 522752 611232 784128 814976 1222464 1568256 1629952 2444928 3259904 4889856 6500707 9779712 13001414 19502121 26002828 39004242 52005656 78008484 104011312 156016968 208022624 312033936 416045248 624067872 832090496 1248135744 1664180992 2496271488 3328361984 4992542976 9985085952