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11482837408 = 257175715281
BaseRepresentation
bin10101011000110111…
…00011000110100000
31002122020222120122101
422230123203012200
5142004101244113
65135233020144
7554361336040
oct125433430640
932566876571
1011482837408
114962842779
1222856b4654
13110cc80963
147ad079720
154731672dd
hex2ac6e31a0

11482837408 has 96 divisors (see below), whose sum is σ = 27409269888. Its totient is φ = 4622745600.

The previous prime is 11482837403. The next prime is 11482837447. The reversal of 11482837408 is 80473828411.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11482837403) 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, 2171728 + ... + 2177008.

It is an arithmetic number, because the mean of its divisors is an integer number (285513228).

Almost surely, 211482837408 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 11482837408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704634944).

11482837408 is an abundant number, since it is smaller than the sum of its proper divisors (15926432480).

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

11482837408 is a wasteful number, since it uses less digits than its factorization.

11482837408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 11482837408 in words is "eleven billion, four hundred eighty-two million, eight hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 571 952 1142 1904 2284 3808 3997 4568 5281 7994 9136 9707 10562 15988 18272 19414 21124 31976 36967 38828 42248 63952 67949 73934 77656 84496 89777 127904 135898 147868 155312 168992 179554 271796 295736 310624 359108 543592 591472 628439 718216 1087184 1182944 1256878 1436432 2174368 2513756 2872864 3015451 5027512 6030902 10055024 12061804 20110048 21108157 24123608 42216314 48247216 51262667 84432628 96494432 102525334 168865256 205050668 337730512 358838669 410101336 675461024 717677338 820202672 1435354676 1640405344 2870709352 5741418704 11482837408