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5517528984 = 2332117978741
BaseRepresentation
bin1010010001101111…
…01100111110011000
3112020112012111212100
411020313230332120
542244441411414
62311255443400
7253505136222
oct51067547630
915215174770
105517528984
112381557210
12109b986560
1369c140466
143a4adb412
152245d3609
hex148decf98

5517528984 has 96 divisors (see below), whose sum is σ = 16324111440. Its totient is φ = 1669689600.

The previous prime is 5517528983. The next prime is 5517529021. The reversal of 5517528984 is 4898257155.

5517528984 is a `hidden beast` number, since 551 + 7 + 5 + 2 + 8 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5517528984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5517528983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626854 + ... + 635594.

Almost surely, 25517528984 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 5517528984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162055720).

5517528984 is an abundant number, since it is smaller than the sum of its proper divisors (10806582456).

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

5517528984 is a wasteful number, since it uses less digits than its factorization.

5517528984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9561 (or 9554 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The square root of 5517528984 is about 74280.0712439077. The cubic root of 5517528984 is about 1767.0474341178.

The spelling of 5517528984 in words is "five billion, five hundred seventeen million, five hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 797 1594 2391 3188 4782 6376 7173 8741 8767 9564 14346 17482 17534 19128 26223 26301 28692 34964 35068 52446 52602 57384 69928 70136 78669 78903 96151 104892 105204 157338 157806 192302 209784 210408 288453 314676 315612 384604 576906 629352 631224 769208 865359 1153812 1730718 2307624 3461436 6922872 6966577 13933154 20899731 27866308 41799462 55732616 62699193 76632347 83598924 125398386 153264694 167197848 229897041 250796772 306529388 459794082 501593544 613058776 689691123 919588164 1379382246 1839176328 2758764492 5517528984