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9799420416 = 293311311571
BaseRepresentation
bin10010010000001011…
…10100101000000000
3221021221100010122220
421020011310220000
5130032122423131
64300215331040
7464560461552
oct111005645000
927257303586
109799420416
114179576665
121a95980a80
13c0228c426
1468d66d4d2
153c548be96
hex248174a00

9799420416 has 160 divisors (see below), whose sum is σ = 27171403776. Its totient is φ = 3134976000.

The previous prime is 9799420409. The next prime is 9799420417. The reversal of 9799420416 is 6140249979.

It is a happy number.

It is a super-2 number, since 2×97994204162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9799420417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6236911 + ... + 6238481.

Almost surely, 29799420416 is an apocalyptic number.

9799420416 is a gapful number since it is divisible by the number (96) 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 9799420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585701888).

9799420416 is an abundant number, since it is smaller than the sum of its proper divisors (17371983360).

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

9799420416 is a wasteful number, since it uses less digits than its factorization.

9799420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9799420416 is about 98992.0219815718. The cubic root of 9799420416 is about 2139.9327733853.

The spelling of 9799420416 in words is "nine billion, seven hundred ninety-nine million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 131 186 192 248 256 262 372 384 393 496 512 524 744 768 786 992 1048 1488 1536 1571 1572 1984 2096 2976 3142 3144 3968 4061 4192 4713 5952 6284 6288 7936 8122 8384 9426 11904 12183 12568 12576 15872 16244 16768 18852 23808 24366 25136 25152 32488 33536 37704 47616 48701 48732 50272 50304 64976 67072 75408 97402 97464 100544 100608 129952 146103 150816 194804 194928 201088 201216 205801 259904 292206 301632 389608 389856 402176 411602 519808 584412 603264 617403 779216 779712 804352 823204 1039616 1168824 1206528 1234806 1558432 1559424 1646408 2079232 2337648 2413056 2469612 3116864 3118848 3292816 4675296 4939224 6233728 6237696 6379831 6585632 9350592 9878448 12467456 12759662 13171264 18701184 19139493 19756896 24934912 25519324 26342528 37402368 38278986 39513792 51038648 52685056 74804736 76557972 79027584 102077296 105370112 153115944 158055168 204154592 306231888 316110336 408309184 612463776 816618368 1224927552 1633236736 2449855104 3266473472 4899710208 9799420416