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5480006896 = 2471331317383
BaseRepresentation
bin1010001101010001…
…00100010011110000
3112010220121012020101
411012220210103300
542210340210041
62303435322144
7252541201330
oct50650442360
915126535211
105480006896
112362359321
12108b2b0354
13694433740
1439db310c0
15221170b31
hex146a244f0

5480006896 has 160 divisors (see below), whose sum is σ = 13567131648. Its totient is φ = 2085903360.

The previous prime is 5480006891. The next prime is 5480006897. The reversal of 5480006896 is 6986000845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5480006891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14307921 + ... + 14308303.

Almost surely, 25480006896 is an apocalyptic number.

5480006896 is a gapful number since it is divisible by the number (56) 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 5480006896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783565824).

5480006896 is an abundant number, since it is smaller than the sum of its proper divisors (8087124752).

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

5480006896 is a wasteful number, since it uses less digits than its factorization.

5480006896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 5480006896 is about 74027.0686708585. The cubic root of 5480006896 is about 1763.0327034280.

The spelling of 5480006896 in words is "five billion, four hundred eighty million, six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 317 364 383 403 434 496 634 728 766 806 868 1268 1456 1532 1612 1736 2219 2536 2681 2821 3064 3224 3472 4121 4438 4979 5072 5362 5642 6128 6448 8242 8876 9827 9958 10724 11284 11873 16484 17752 19654 19916 21448 22568 23746 28847 32968 34853 35504 39308 39832 42896 45136 47492 57694 65936 68789 69706 78616 79664 83111 94984 115388 121411 127751 137578 139412 154349 157232 166222 189968 230776 242822 255502 275156 278824 308698 332444 461552 485644 511004 550312 557648 617396 664888 849877 894257 971288 1022008 1080443 1100624 1234792 1329776 1578343 1699754 1788514 1942576 2044016 2160886 2469584 3156686 3399508 3577028 3763741 4321772 6313372 6799016 7154056 7527482 8643544 11048401 12626744 13598032 14308112 15054964 17287088 22096802 25253488 26346187 30109928 44193604 48928633 52692374 60219856 88387208 97857266 105384748 176774416 195714532 210769496 342500431 391429064 421538992 685000862 782858128 1370001724 2740003448 5480006896