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9876873740 = 2251958744279
BaseRepresentation
bin10010011001011010…
…10010001000001100
3221111100002011122112
421030231102020030
5130211434424430
64312023403152
7466521020156
oct111455221014
927440064575
109876873740
114209268478
121ab78b34b8
13c1533a5b6
14699a71ad6
153cc18b195
hex24cb5220c

9876873740 has 48 divisors (see below), whose sum is σ = 21870777600. Its totient is φ = 3736354752.

The previous prime is 9876873709. The next prime is 9876873749. The reversal of 9876873740 is 473786789.

It is a self number, because there is not a number n which added to its sum of digits gives 9876873740.

It is not an unprimeable number, because it can be changed into a prime (9876873749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200921 + ... + 245199.

It is an arithmetic number, because the mean of its divisors is an integer number (455641200).

Almost surely, 29876873740 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 9876873740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10935388800).

9876873740 is an abundant number, since it is smaller than the sum of its proper divisors (11993903860).

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

9876873740 is a wasteful number, since it uses less digits than its factorization.

9876873740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44894 (or 44892 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The square root of 9876873740 is about 99382.4619336832. The cubic root of 9876873740 is about 2145.5558997727. Note that the first 3 decimals are identical.

The spelling of 9876873740 in words is "nine billion, eight hundred seventy-six million, eight hundred seventy-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 587 1174 2348 2935 5870 11153 11740 22306 44279 44612 55765 88558 111530 177116 221395 223060 442790 841301 885580 1682602 3365204 4206505 8413010 16826020 25991773 51983546 103967092 129958865 259917730 493843687 519835460 987687374 1975374748 2469218435 4938436870 9876873740