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5521830608 = 2472931173317
BaseRepresentation
bin1010010010010000…
…00111001011010000
3112020211022001120202
411021020013023100
542302042034413
62311531554332
7253556533340
oct51110071320
915224261522
105521830608
112383a25078
1210a12bb9a8
1369ccb83b8
143a54dad20
15224b82e58
hex1492072d0

5521830608 has 160 divisors (see below), whose sum is σ = 13173442560. Its totient is φ = 2191472640.

The previous prime is 5521830563. The next prime is 5521830617. The reversal of 5521830608 is 8060381255.

It is a super-2 number, since 2×55218306082 = 60981226526891299328, which contains 22 as substring.

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, 17418866 + ... + 17419182.

It is an arithmetic number, because the mean of its divisors is an integer number (82334016).

Almost surely, 25521830608 is an apocalyptic number.

5521830608 is a gapful number since it is divisible by the number (58) 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 5521830608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586721280).

5521830608 is an abundant number, since it is smaller than the sum of its proper divisors (7651611952).

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

5521830608 is a wasteful number, since it uses less digits than its factorization.

5521830608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5521830608 is about 74309.0210405170. The cubic root of 5521830608 is about 1767.5065284675.

The spelling of 5521830608 in words is "five billion, five hundred twenty-one million, eight hundred thirty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 112 116 124 173 203 217 232 248 317 346 406 434 464 496 634 692 812 868 899 1211 1268 1384 1624 1736 1798 2219 2422 2536 2768 3248 3472 3596 4438 4844 5017 5072 5363 6293 7192 8876 9193 9688 9827 10034 10726 12586 14384 17752 18386 19376 19654 20068 21452 25172 35119 35504 36772 37541 39308 40136 42904 50344 54841 64351 68789 70238 73544 75082 78616 80272 85808 100688 109682 128702 137578 140476 147088 150164 155527 157232 219364 257404 275156 280952 284983 300328 311054 383887 438728 514808 550312 561904 569966 600656 622108 767774 877456 1029616 1088689 1100624 1139932 1244216 1535548 1590389 1700071 1994881 2177378 2279864 2488432 3071096 3180778 3400142 3989762 4354756 4559728 6142192 6361556 6800284 7979524 8709512 11132723 11900497 12723112 13600568 15959048 17419024 22265446 23800994 25446224 27201136 31918096 44530892 47601988 49302059 89061784 95203976 98604118 178123568 190407952 197208236 345114413 394416472 690228826 788832944 1380457652 2760915304 5521830608