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11481347790 = 23251140128921
BaseRepresentation
bin10101011000101011…
…10111011011001110
31002122011011220021100
422230111313123032
5142003211112130
65135141043530
7554342563113
oct125425673316
932564156240
1011481347790
114961a15590
1222850b65a6
13110c87b923
147acbac90a
15472e70c60
hex2ac5776ce

11481347790 has 96 divisors (see below), whose sum is σ = 32647616352. Its totient is φ = 2776320000.

The previous prime is 11481347771. The next prime is 11481347791. The reversal of 11481347790 is 9774318411.

11481347790 is a `hidden beast` number, since 1 + 14 + 81 + 3 + 477 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11481347791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382530 + ... + 411450.

It is an arithmetic number, because the mean of its divisors is an integer number (340079337).

Almost surely, 211481347790 is an apocalyptic number.

11481347790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11481347790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323808176).

11481347790 is an abundant number, since it is smaller than the sum of its proper divisors (21166268562).

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

11481347790 is a wasteful number, since it uses less digits than its factorization.

11481347790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29346 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11481347790 in words is "eleven billion, four hundred eighty-one million, three hundred forty-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 401 495 802 990 1203 2005 2406 3609 4010 4411 6015 7218 8822 12030 13233 18045 22055 26466 28921 36090 39699 44110 57842 66165 79398 86763 132330 144605 173526 198495 260289 289210 318131 396990 433815 520578 636262 867630 954393 1301445 1590655 1908786 2602890 2863179 3181310 4771965 5726358 9543930 11597321 14315895 23194642 28631790 34791963 57986605 69583926 104375889 115973210 127570531 173959815 208751778 255141062 347919630 382711593 521879445 637852655 765423186 1043758890 1148134779 1275705310 1913557965 2296269558 3827115930 5740673895 11481347790