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9870937020 = 223757103313
BaseRepresentation
bin10010011000101101…
…01000101110111100
3221110220220120000000
421030112220232330
5130203424441040
64311252234300
7466416403020
oct111426505674
927426816000
109870937020
11420598309a
121ab590b990
13c1403c349
14698d68380
153cb8b7130
hex24c5a8bbc

9870937020 has 384 divisors, whose sum is σ = 35989524480. Its totient is φ = 2227170816.

The previous prime is 9870937007. The next prime is 9870937033. The reversal of 9870937020 is 207390789.

9870937020 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 (9870937007) and next prime (9870937033).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 31536384 + ... + 31536696.

It is an arithmetic number, because the mean of its divisors is an integer number (93722720).

Almost surely, 29870937020 is an apocalyptic number.

9870937020 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 9870937020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994762240).

9870937020 is an abundant number, since it is smaller than the sum of its proper divisors (26118587460).

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

9870937020 is a wasteful number, since it uses less digits than its factorization.

9870937020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9870937020 is about 99352.5893975592. The cubic root of 9870937020 is about 2145.1259351949.

The spelling of 9870937020 in words is "nine billion, eight hundred seventy million, nine hundred thirty-seven thousand, twenty".