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9992002020 = 223571113435373
BaseRepresentation
bin10010100111001000…
…11101100111100100
3221210100201021221220
421103210131213210
5130430423031040
64331255140340
7502416421140
oct112344354744
927710637856
109992002020
114268252010
121b2a3746b0
13c33149c40
146ab080220
153d732d2d0
hex25391d9e4

9992002020 has 768 divisors, whose sum is σ = 39699652608. Its totient is φ = 1811496960.

The previous prime is 9992002019. The next prime is 9992002021. The reversal of 9992002020 is 202002999.

9992002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9992002019) and next prime (9992002021).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9992002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136876704 + ... + 136876776.

It is an arithmetic number, because the mean of its divisors is an integer number (51692256).

Almost surely, 29992002020 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 9992002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849826304).

9992002020 is an abundant number, since it is smaller than the sum of its proper divisors (29707650588).

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

9992002020 is a wasteful number, since it uses less digits than its factorization.

9992002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9992002020 is about 99960.0021008403. The cubic root of 9992002020 is about 2153.8601659848.

The spelling of 9992002020 in words is "nine billion, nine hundred ninety-two million, two thousand, twenty".