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7998432416 = 2513131317463
BaseRepresentation
bin1110111001011111…
…00110010010100000
3202122102110110120122
413130233212102200
5112340044314131
63401402055412
7402131360642
oct73457462240
922572413518
107998432416
1134349a7727
1216727aa568
139a6114760
1455c3ba892
1531c2dad7b
hex1dcbe64a0

7998432416 has 96 divisors (see below), whose sum is σ = 17178594048. Its totient is φ = 3643960320.

The previous prime is 7998432311. The next prime is 7998432427. The reversal of 7998432416 is 6142348997.

It is a super-2 number, since 2×79984324162 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17275001 + ... + 17275463.

It is an arithmetic number, because the mean of its divisors is an integer number (178943688).

Almost surely, 27998432416 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 7998432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589297024).

7998432416 is an abundant number, since it is smaller than the sum of its proper divisors (9180161632).

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

7998432416 is a wasteful number, since it uses less digits than its factorization.

7998432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 7998432416 is about 89433.9556097124. The cubic root of 7998432416 is about 1999.8693594667.

The spelling of 7998432416 in words is "seven billion, nine hundred ninety-eight million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 317 416 463 524 634 926 1048 1268 1703 1852 2096 2536 3406 3704 4121 4192 5072 6019 6812 7408 8242 10144 12038 13624 14816 16484 24076 27248 32968 41527 48152 54496 60653 65936 83054 96304 121306 131872 146771 166108 192608 242612 293542 332216 485224 539851 587084 664432 788489 970448 1079702 1174168 1328864 1576978 1908023 1940896 2159404 2348336 3153956 3816046 4318808 4696672 6307912 7632092 8637616 12615824 15264184 17275232 19227001 25231648 30528368 38454002 61056736 76908004 153816008 249951013 307632016 499902026 615264032 999804052 1999608104 3999216208 7998432416