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11824875480 = 23351122394001
BaseRepresentation
bin10110000001101000…
…10100011111011000
31010112002120220200010
423000310110133120
5143204132003410
65233212041520
7566013532425
oct130064243730
933462526603
1011824875480
115018919a70
1223601632a0
131165aa9b52
14802672d4c
154931cbc20
hex2c0d147d8

11824875480 has 128 divisors (see below), whose sum is σ = 38726553600. Its totient is φ = 2864640000.

The previous prime is 11824875451. The next prime is 11824875539. The reversal of 11824875480 is 8457842811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953480 + ... + 2957480.

It is an arithmetic number, because the mean of its divisors is an integer number (302551200).

Almost surely, 211824875480 is an apocalyptic number.

11824875480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11824875480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363276800).

11824875480 is an abundant number, since it is smaller than the sum of its proper divisors (26901678120).

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

11824875480 is a wasteful number, since it uses less digits than its factorization.

11824875480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 11824875480 in words is "eleven billion, eight hundred twenty-four million, eight hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2239 4001 4478 6717 8002 8956 11195 12003 13434 16004 17912 20005 22390 24006 24629 26868 32008 33585 40010 44011 44780 48012 49258 53736 60015 67170 73887 80020 88022 89560 96024 98516 120030 123145 132033 134340 147774 160040 176044 197032 220055 240060 246290 264066 268680 295548 352088 369435 440110 480120 492580 528132 591096 660165 738870 880220 985160 1056264 1320330 1477740 1760440 2640660 2955480 5281320 8958239 17916478 26874717 35832956 44791195 53749434 71665912 89582390 98540629 107498868 134373585 179164780 197081258 214997736 268747170 295621887 358329560 394162516 492703145 537494340 591243774 788325032 985406290 1074988680 1182487548 1478109435 1970812580 2364975096 2956218870 3941625160 5912437740 11824875480