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8001980316 = 223211181111641
BaseRepresentation
bin1110111001111010…
…01000011110011100
3202122200010201101100
413130331020132130
5112342001332231
63402010113100
7402203465451
oct73475103634
922580121340
108001980316
113436a00280
121673a1b790
139a6a875c5
1455ca61828
1531c78c1e6
hex1dcf4879c

8001980316 has 72 divisors (see below), whose sum is σ = 22188177648. Its totient is φ = 2411424000.

The previous prime is 8001980293. The next prime is 8001980339. The reversal of 8001980316 is 6130891008.

It is an interprime number because it is at equal distance from previous prime (8001980293) and next prime (8001980339).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15856 + ... + 127496.

It is an arithmetic number, because the mean of its divisors is an integer number (308169134).

Almost surely, 28001980316 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 8001980316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094088824).

8001980316 is an abundant number, since it is smaller than the sum of its proper divisors (14186197332).

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

8001980316 is a wasteful number, since it uses less digits than its factorization.

8001980316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111843 (or 111838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8001980316 is about 89453.7887179744. The cubic root of 8001980316 is about 2000.1650127184.

The spelling of 8001980316 in words is "eight billion, one million, nine hundred eighty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1629 1991 2172 3258 3982 5973 6516 7964 11946 17919 23892 35838 71676 111641 223282 334923 446564 669846 1004769 1228051 1339692 2009538 2456102 3684153 4019076 4912204 7368306 11052459 14736612 20207021 22104918 40414042 44209836 60621063 80828084 121242126 181863189 222277231 242484252 363726378 444554462 666831693 727452756 889108924 1333663386 2000495079 2667326772 4000990158 8001980316