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5475655296 = 27331983389
BaseRepresentation
bin1010001100101111…
…11101111010000000
3112010121102002222000
411012113331322000
542203231432141
62303202144000
7252456205416
oct50627757200
915117362860
105475655296
11235a956961
121089952000
1369356bb27
1439d31b2b6
15220ab15b6
hex1465fde80

5475655296 has 128 divisors (see below), whose sum is σ = 17011560000. Its totient is φ = 1729133568.

The previous prime is 5475655291. The next prime is 5475655357. The reversal of 5475655296 is 6925565745.

5475655296 is a `hidden beast` number, since 54 + 7 + 5 + 65 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54756552962 = 59965601841225695232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5475655291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23970 + ... + 107358.

Almost surely, 25475655296 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 5475655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505780000).

5475655296 is an abundant number, since it is smaller than the sum of its proper divisors (11535904704).

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

5475655296 is a wasteful number, since it uses less digits than its factorization.

5475655296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83431 (or 83413 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The square root of 5475655296 is about 73997.6708822649. The cubic root of 5475655296 is about 1762.5659129718.

The spelling of 5475655296 in words is "five billion, four hundred seventy-five million, six hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 83389 166778 250167 333556 500334 667112 750501 1000668 1334224 1501002 1584391 2001336 2251503 2668448 3002004 3168782 4002672 4503006 4753173 5336896 6004008 6337564 8005344 9006012 9506346 10673792 12008016 12675128 14259519 16010688 18012024 19012692 24016032 25350256 28519038 32021376 36024048 38025384 42778557 48032064 50700512 57038076 72048096 76050768 85557114 96064128 101401024 114076152 144096192 152101536 171114228 202802048 228152304 288192384 304203072 342228456 456304608 608406144 684456912 912609216 1368913824 1825218432 2737827648 5475655296