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5506065920 = 29510720101
BaseRepresentation
bin1010010000010111…
…11110011000000000
3112012201122010111102
411020023332120000
542234023102140
62310210033532
7253305534215
oct51013763000
915181563442
105506065920
112376037903
121097b788a8
13699958994
143a3395b0c
152235bbe15
hex1482fe600

5506065920 has 80 divisors (see below), whose sum is σ = 13325696208. Its totient is φ = 2181734400.

The previous prime is 5506065907. The next prime is 5506065949. The reversal of 5506065920 is 295606055.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 263870 + ... + 283970.

Almost surely, 25506065920 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 5506065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662848104).

5506065920 is an abundant number, since it is smaller than the sum of its proper divisors (7819630288).

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

5506065920 is a wasteful number, since it uses less digits than its factorization.

5506065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231 (or 20215 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The square root of 5506065920 is about 74202.8700253568. The cubic root of 5506065920 is about 1765.8228628944.

The spelling of 5506065920 in words is "five billion, five hundred six million, sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 512 535 640 856 1070 1280 1712 2140 2560 3424 4280 6848 8560 13696 17120 20101 27392 34240 40202 54784 68480 80404 100505 136960 160808 201010 273920 321616 402020 643232 804040 1286464 1608080 2150807 2572928 3216160 4301614 5145856 6432320 8603228 10291712 10754035 12864640 17206456 21508070 25729280 34412912 43016140 51458560 68825824 86032280 137651648 172064560 275303296 344129120 550606592 688258240 1101213184 1376516480 2753032960 5506065920