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6981263616 = 28345719891
BaseRepresentation
bin1101000000001110…
…11010000100000000
3200000112110221022010
412200013122010000
5103244200413431
63112424412520
7335000522145
oct64007320400
920015427263
106981263616
112a62817758
12142a017140
13873475a22
144a32803cc
152acd67846
hex1a01da100

6981263616 has 72 divisors (see below), whose sum is σ = 18621935584. Its totient is φ = 2321879040.

The previous prime is 6981263599. The next prime is 6981263621. The reversal of 6981263616 is 6163621896.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341031 + ... + 360921.

Almost surely, 26981263616 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 6981263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9310967792).

6981263616 is an abundant number, since it is smaller than the sum of its proper divisors (11640671968).

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

6981263616 is a wasteful number, since it uses less digits than its factorization.

6981263616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20367 (or 20353 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 6981263616 is about 83553.9563156647. The cubic root of 6981263616 is about 1911.2229237788. Note that the first 3 decimals are identical.

The spelling of 6981263616 in words is "six billion, nine hundred eighty-one million, two hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 457 768 914 1371 1828 2742 3656 5484 7312 10968 14624 19891 21936 29248 39782 43872 58496 59673 79564 87744 116992 119346 159128 175488 238692 318256 350976 477384 636512 954768 1273024 1909536 2546048 3819072 5092096 7638144 9090187 15276288 18180374 27270561 36360748 54541122 72721496 109082244 145442992 218164488 290885984 436328976 581771968 872657952 1163543936 1745315904 2327087872 3490631808 6981263616