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11475701248 = 29115693581
BaseRepresentation
bin10101011000000000…
…10100111000000000
31002121202120000200011
422230000110320000
5142000234414443
65134420034304
7554243564644
oct125400247000
932552500604
1011475701248
114959809220
122283232994
13110b65278b
147ac13cc24
15472707b9d
hex2ac014e00

11475701248 has 80 divisors (see below), whose sum is σ = 25064400240. Its totient is φ = 5205606400.

The previous prime is 11475701243. The next prime is 11475701269. The reversal of 11475701248 is 84210757411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11475701248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11475701243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202818 + ... + 3206398.

It is an arithmetic number, because the mean of its divisors is an integer number (313305003).

Almost surely, 211475701248 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 11475701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532200120).

11475701248 is an abundant number, since it is smaller than the sum of its proper divisors (13588698992).

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

11475701248 is an equidigital number, since it uses as much as digits as its factorization.

11475701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 11475701248 in words is "eleven billion, four hundred seventy-five million, seven hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 569 704 1138 1408 2276 2816 3581 4552 5632 6259 7162 9104 12518 14324 18208 25036 28648 36416 39391 50072 57296 72832 78782 100144 114592 145664 157564 200288 229184 291328 315128 400576 458368 630256 801152 916736 1260512 1602304 1833472 2037589 2521024 3204608 4075178 5042048 8150356 10084096 16300712 20168192 22413479 32601424 44826958 65202848 89653916 130405696 179307832 260811392 358615664 521622784 717231328 1043245568 1434462656 2868925312 5737850624 11475701248