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9935998380 = 223357111971213
BaseRepresentation
bin10010100000011101…
…10100110110101100
3221122110100000102000
421100032310312230
5130322103422010
64321534532300
7501136410210
oct112016646654
927573300360
109935998380
114239680710
121b13667090
13c2466bca9
146a3862940
153d24697c0
hex2503b4dac

9935998380 has 384 divisors, whose sum is σ = 38767196160. Its totient is φ = 2052449280.

The previous prime is 9935998363. The next prime is 9935998399. The reversal of 9935998380 is 838995399.

9935998380 is a `hidden beast` number, since 9 + 9 + 3 + 599 + 8 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8190654 + ... + 8191866.

It is an arithmetic number, because the mean of its divisors is an integer number (100956240).

Almost surely, 29935998380 is an apocalyptic number.

9935998380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9935998380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383598080).

9935998380 is an abundant number, since it is smaller than the sum of its proper divisors (28831197780).

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

9935998380 is a wasteful number, since it uses less digits than its factorization.

9935998380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The square root of 9935998380 is about 99679.4782289715. The cubic root of 9935998380 is about 2149.8286057710.

The spelling of 9935998380 in words is "nine billion, nine hundred thirty-five million, nine hundred ninety-eight thousand, three hundred eighty".