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27234906480 = 2433553237901
BaseRepresentation
bin11001010111010100…
…111011000101110000
32121022001021121011000
4121113110323011300
5421234114001410
620302254322000
71652622612465
oct312724730560
977261247130
1027234906480
1110606438381
125340ab9300
13275056a1a2
14146510d66c
15a95ed6dc0
hex65753b170

27234906480 has 160 divisors (see below), whose sum is σ = 95579507520. Its totient is φ = 7125580800.

The previous prime is 27234906473. The next prime is 27234906511. The reversal of 27234906480 is 8460943272.

27234906480 is a `hidden beast` number, since 2 + 7 + 23 + 490 + 64 + 80 = 666.

It is a super-3 number, since 3×272349064803 (a number of 32 digits) contains 333 as substring.

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

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, 4471 + ... + 233430.

It is an arithmetic number, because the mean of its divisors is an integer number (597371922).

Almost surely, 227234906480 is an apocalyptic number.

27234906480 is a gapful number since it is divisible by the number (20) 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 27234906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47789753760).

27234906480 is an abundant number, since it is smaller than the sum of its proper divisors (68344601040).

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

27234906480 is a wasteful number, since it uses less digits than its factorization.

27234906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237976 (or 237964 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27234906480 in words is "twenty-seven billion, two hundred thirty-four million, nine hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1272 1431 1590 1908 2120 2160 2385 2544 2862 3180 3816 4240 4770 5724 6360 7155 7632 9540 11448 12720 14310 19080 22896 28620 38160 57240 114480 237901 475802 713703 951604 1189505 1427406 1903208 2141109 2379010 2854812 3568515 3806416 4282218 4758020 5709624 6423327 7137030 8564436 9516040 10705545 11419248 12608753 12846654 14274060 17128872 19032080 21411090 25217506 25693308 28548120 32116635 34257744 37826259 42822180 50435012 51386616 57096240 63043765 64233270 75652518 85644360 100870024 102773232 113478777 126087530 128466540 151305036 171288720 189131295 201740048 226957554 252175060 256933080 302610072 340436331 378262590 453915108 504350120 513866160 567393885 605220144 680872662 756525180 907830216 1008700240 1134787770 1361745324 1513050360 1702181655 1815660432 2269575540 2723490648 3026100720 3404363310 4539151080 5446981296 6808726620 9078302160 13617453240 27234906480