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5506050564 = 2232747617621
BaseRepresentation
bin1010010000010111…
…11010101000000100
3112012201121100102200
411020023322220010
542234022104224
62310205434500
7253305441360
oct51013725004
915181540380
105506050564
112376027313
121097b6ba30
136999519b1
143a33902a0
152235b75c9
hex1482faa04

5506050564 has 144 divisors (see below), whose sum is σ = 16513276416. Its totient is φ = 1514246400.

The previous prime is 5506050551. The next prime is 5506050587. The reversal of 5506050564 is 4650506055.

It is a happy number.

5506050564 is a `hidden beast` number, since 550 + 6 + 0 + 50 + 56 + 4 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 718674 + ... + 726294.

Almost surely, 25506050564 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 5506050564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256638208).

5506050564 is an abundant number, since it is smaller than the sum of its proper divisors (11007225852).

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

5506050564 is a wasteful number, since it uses less digits than its factorization.

5506050564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5506050564 is about 74202.7665521980. The cubic root of 5506050564 is about 1765.8212213109.

The spelling of 5506050564 in words is "five billion, five hundred six million, fifty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 61 63 84 94 122 126 141 183 188 244 252 282 329 366 423 427 549 564 658 732 846 854 987 1098 1281 1316 1692 1708 1974 2196 2562 2867 2961 3843 3948 5124 5734 5922 7621 7686 8601 11468 11844 15242 15372 17202 20069 22863 25803 30484 34404 40138 45726 51606 53347 60207 68589 80276 91452 103212 106694 120414 137178 160041 180621 213388 240828 274356 320082 358187 361242 464881 480123 640164 716374 722484 929762 960246 1074561 1394643 1432748 1859524 1920492 2149122 2507309 2789286 3223683 3254167 4183929 4298244 5014618 5578572 6447366 6508334 7521927 8367858 9762501 10029236 12894732 13016668 15043854 16735716 19525002 21849407 22565781 29287503 30087708 39050004 43698814 45131562 58575006 65548221 87397628 90263124 117150012 131096442 152945849 196644663 262192884 305891698 393289326 458837547 611783396 786578652 917675094 1376512641 1835350188 2753025282 5506050564