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5506155006 = 2311296742937
BaseRepresentation
bin1010010000011000…
…10100000111111110
3112012201210122200220
411020030110013332
542234033430011
62310212002210
7253306355022
oct51014240776
915181718626
105506155006
112376098830
121098000366
1369998a3b1
143a33ba382
152235d8506
hex1483141fe

5506155006 has 64 divisors (see below), whose sum is σ = 12613466880. Its totient is φ = 1586914560.

The previous prime is 5506154981. The next prime is 5506155019. The reversal of 5506155006 is 6005516055.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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, 106770 + ... + 149706.

It is an arithmetic number, because the mean of its divisors is an integer number (197085420).

Almost surely, 25506155006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506155006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306733440).

5506155006 is an abundant number, since it is smaller than the sum of its proper divisors (7107311874).

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

5506155006 is a wasteful number, since it uses less digits than its factorization.

5506155006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43049.

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 5506155006 is about 74203.4703096830. The cubic root of 5506155006 is about 1765.8323862849.

The spelling of 5506155006 in words is "five billion, five hundred six million, one hundred fifty-five thousand, six".

Divisors: 1 2 3 6 11 22 29 33 58 66 67 87 134 174 201 319 402 638 737 957 1474 1914 1943 2211 3886 4422 5829 11658 21373 42746 42937 64119 85874 128238 128811 257622 472307 944614 1245173 1416921 2490346 2833842 2876779 3735519 5753558 7471038 8630337 13696903 17260674 27393806 31644569 41090709 63289138 82181418 83426591 94933707 166853182 189867414 250279773 500559546 917692501 1835385002 2753077503 5506155006