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5517425052 = 2233377119447
BaseRepresentation
bin1010010001101110…
…10011100110011100
3112020112000020022000
411020313103212130
542244430100202
62311253322300
7253504224216
oct51067234634
915215006260
105517425052
112381496117
12109b936390
1369c105069
143a4ab15b6
152245b291c
hex148dd399c

5517425052 has 96 divisors (see below), whose sum is σ = 14898723840. Its totient is φ = 1764141120.

The previous prime is 5517425041. The next prime is 5517425093. The reversal of 5517425052 is 2505247155.

5517425052 is a `hidden beast` number, since 5 + 517 + 42 + 50 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5517424998 and 5517425016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 273993 + ... + 293439.

It is an arithmetic number, because the mean of its divisors is an integer number (155195040).

Almost surely, 25517425052 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 5517425052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449361920).

5517425052 is an abundant number, since it is smaller than the sum of its proper divisors (9381298788).

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

5517425052 is a wasteful number, since it uses less digits than its factorization.

5517425052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19568 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 5517425052 is about 74279.3716451614. The cubic root of 5517425052 is about 1767.0363389381.

The spelling of 5517425052 in words is "five billion, five hundred seventeen million, four hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 108 111 142 148 213 222 284 333 426 444 639 666 852 999 1278 1332 1917 1998 2556 2627 3834 3996 5254 7668 7881 10508 15762 19447 23643 31524 38894 47286 58341 70929 77788 94572 116682 141858 175023 233364 283716 350046 525069 700092 719539 1050138 1380737 1439078 2100276 2158617 2761474 2878156 4142211 4317234 5522948 6475851 8284422 8634468 12426633 12951702 16568844 19427553 24853266 25903404 37279899 38855106 49706532 51087269 74559798 77710212 102174538 149119596 153261807 204349076 306523614 459785421 613047228 919570842 1379356263 1839141684 2758712526 5517425052