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10854289408 = 21231731171
BaseRepresentation
bin10100001101111011…
…10101000000000000
31001000110021000212211
422012331311000000
5134212144230113
64553021031504
7532656636424
oct120675650000
931013230784
1010854289408
11466aa66316
12212b0b5594
13103c99ac71
1474d7c0b84
15437daab3d
hex286f75000

10854289408 has 104 divisors (see below), whose sum is σ = 22732449536. Its totient is φ = 5175705600.

The previous prime is 10854289403. The next prime is 10854289409. The reversal of 10854289408 is 80498245801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10854289403) 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 7 ways as a sum of consecutive naturals, for example, 9268663 + ... + 9269833.

Almost surely, 210854289408 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 10854289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366224768).

10854289408 is an abundant number, since it is smaller than the sum of its proper divisors (11878160128).

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

10854289408 is an equidigital number, since it uses as much as digits as its factorization.

10854289408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 10854289408 in words is "ten billion, eight hundred fifty-four million, two hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 128 146 248 256 292 496 512 584 992 1024 1168 1171 1984 2048 2263 2336 2342 3968 4096 4526 4672 4684 7936 9052 9344 9368 15872 18104 18688 18736 31744 36208 36301 37376 37472 63488 72416 72602 74752 74944 85483 126976 144832 145204 149504 149888 170966 289664 290408 299008 299776 341932 579328 580816 599552 683864 1158656 1161632 1199104 1367728 2317312 2323264 2398208 2649973 2735456 4634624 4646528 4796416 5299946 5470912 9269248 9293056 10599892 10941824 18586112 21199784 21883648 37172224 42399568 43767296 74344448 84799136 87534592 148688896 169598272 175069184 339196544 350138368 678393088 1356786176 2713572352 5427144704 10854289408