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9419908416 = 263674311699
BaseRepresentation
bin10001100010111100…
…00110010101000000
3220022111012221001220
420301132012111000
5123242444032131
64154421155040
7452301620562
oct106136062500
926274187056
109419908416
113aa4324686
1219aa85ba80
13b71772409
146550bd332
153a1ec3e96
hex231786540

9419908416 has 112 divisors (see below), whose sum is σ = 25369113600. Its totient is φ = 3084111360.

The previous prime is 9419908409. The next prime is 9419908417. The reversal of 9419908416 is 6148099149.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9419908417) 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, 5543535 + ... + 5545233.

Almost surely, 29419908416 is an apocalyptic number.

9419908416 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 9419908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684556800).

9419908416 is an abundant number, since it is smaller than the sum of its proper divisors (15949205184).

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

9419908416 is a wasteful number, since it uses less digits than its factorization.

9419908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 9419908416 is about 97056.2126604990. The cubic root of 9419908416 is about 2111.9431659408.

The spelling of 9419908416 in words is "nine billion, four hundred nineteen million, nine hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 431 536 804 862 1072 1293 1608 1699 1724 2144 2586 3216 3398 3448 4288 5097 5172 6432 6796 6896 10194 10344 12864 13592 13792 20388 20688 27184 27584 28877 40776 41376 54368 57754 81552 82752 86631 108736 113833 115508 163104 173262 227666 231016 326208 341499 346524 455332 462032 682998 693048 732269 910664 924064 1365996 1386096 1464538 1821328 1848128 2196807 2731992 2772192 2929076 3642656 4393614 5463984 5544384 5858152 7285312 8787228 10927968 11716304 17574456 21855936 23432608 35148912 46865216 49062023 70297824 98124046 140595648 147186069 196248092 294372138 392496184 588744276 784992368 1177488552 1569984736 2354977104 3139969472 4709954208 9419908416