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264404254203440 = 245132311053689557
BaseRepresentation
bin111100000111100101101001…
…101001100001111000110000
31021200011210121002022120110222
4330013211221221201320300
5234123444403034002230
62334201345412312212
7106456401621434021
oct7407455151417060
91250153532276428
10264404254203440
117727a23a54742a
12257a3395912668
13b46c2a274a570
14494133c864c48
152087b64c306e5
hexf07969a61e30

264404254203440 has 80 divisors (see below), whose sum is σ = 690811382616768. Its totient is φ = 93381569369088.

The previous prime is 264404254203437. The next prime is 264404254203443. The reversal of 264404254203440 is 44302452404462.

It is an interprime number because it is at equal distance from previous prime (264404254203437) and next prime (264404254203443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 264404254203391 and 264404254203400.

It is not an unprimeable number, because it can be changed into a prime (264404254203443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5526820859 + ... + 5526868698.

Almost surely, 2264404254203440 is an apocalyptic number.

264404254203440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264404254203440 is an abundant number, since it is smaller than the sum of its proper divisors (426407128413328).

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

264404254203440 is a wasteful number, since it uses less digits than its factorization.

264404254203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053689606 (or 11053689600 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 44.

The spelling of 264404254203440 in words is "two hundred sixty-four trillion, four hundred four billion, two hundred fifty-four million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 11053689557 22107379114 44214758228 55268447785 88429516456 110536895570 143697964241 176859032912 221073791140 254234859811 287395928482 442147582280 508469719622 574791856964 718489821205 884295164560 1016939439244 1149583713928 1271174299055 1436979642410 2033878878488 2299167427856 2542348598110 2873959284820 3305053177543 4067757756976 5084697196220 5747918569640 6610106355086 10169394392440 11495837139280 13220212710172 16525265887715 20338788784880 26440425420344 33050531775430 52880850840688 66101063550860 132202127101720 264404254203440