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5526564030 = 2325137166529
BaseRepresentation
bin1010010010110100…
…01010110010111110
3112021011012112121200
411021122022302332
542304300022110
62312221240330
7253645006401
oct51132126276
915234175550
105526564030
112386668399
1210a2a030a6
136a0c84a40
143a5dadd38
152252ba6c0
hex14968acbe

5526564030 has 96 divisors (see below), whose sum is σ = 15692564160. Its totient is φ = 1341204480.

The previous prime is 5526564013. The next prime is 5526564031. The reversal of 5526564030 is 304656255.

It is a happy number.

5526564030 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 5 + 640 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5526564031) 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 47 ways as a sum of consecutive naturals, for example, 49806 + ... + 116334.

It is an arithmetic number, because the mean of its divisors is an integer number (163464210).

Almost surely, 25526564030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5526564030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846282080).

5526564030 is an abundant number, since it is smaller than the sum of its proper divisors (10166000130).

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

5526564030 is a wasteful number, since it uses less digits than its factorization.

5526564030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66626 (or 66623 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5526564030 is about 74340.8637964343. The cubic root of 5526564030 is about 1768.0114313652.

The spelling of 5526564030 in words is "five billion, five hundred twenty-six million, five hundred sixty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 195 213 234 355 390 426 585 639 710 923 1065 1170 1278 1846 2130 2769 3195 4615 5538 6390 8307 9230 13845 16614 27690 41535 66529 83070 133058 199587 332645 399174 598761 665290 864877 997935 1197522 1729754 1995870 2594631 2993805 4324385 4723559 5189262 5987610 7783893 8648770 9447118 12973155 14170677 15567786 23617795 25946310 28341354 38919465 42512031 47235590 61406267 70853385 77838930 85024062 122812534 141706770 184218801 212560155 307031335 368437602 425120310 552656403 614062670 921094005 1105312806 1842188010 2763282015 5526564030