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9930060000 = 25335473771
BaseRepresentation
bin10010011111110000…
…01011000011100000
3221122001011022111000
421033320023003200
5130314043410000
64321203352000
7501035055150
oct111770130340
927561138430
109930060000
114236295063
121b11682600
13c23370063
146a2b58760
153d1b95000
hex24fe0b0e0

9930060000 has 960 divisors, whose sum is σ = 43078210560. Its totient is φ = 2177280000.

The previous prime is 9930059977. The next prime is 9930060083. The reversal of 9930060000 is 600399.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139859965 + ... + 139860035.

It is an arithmetic number, because the mean of its divisors is an integer number (44873136).

Almost surely, 29930060000 is an apocalyptic number.

9930060000 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 9930060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539105280).

9930060000 is an abundant number, since it is smaller than the sum of its proper divisors (33148150560).

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

9930060000 is a wasteful number, since it uses less digits than its factorization.

9930060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9930060000 is about 99649.6864019150. The cubic root of 9930060000 is about 2149.4002293124.

Adding to 9930060000 its reverse (600399), we get a palindrome (9930660399).

The spelling of 9930060000 in words is "nine billion, nine hundred thirty million, sixty thousand".