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5006618892 = 22321112799551
BaseRepresentation
bin1001010100110101…
…01111000100001100
3110220220211120222100
410222122233010030
540223143301032
62144445115100
7235032362352
oct45232570414
913826746870
105006618892
11213a118970
12b78858a90
1361a3384b2
14356d057d2
151e481297c
hex12a6af10c

5006618892 has 72 divisors (see below), whose sum is σ = 13914980352. Its totient is φ = 1505196000.

The previous prime is 5006618891. The next prime is 5006618893. The reversal of 5006618892 is 2988166005.

5006618892 is a `hidden beast` number, since 500 + 6 + 61 + 8 + 89 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5006618891) and next prime (5006618893).

It is not an unprimeable number, because it can be changed into a prime (5006618891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517 + ... + 100067.

It is an arithmetic number, because the mean of its divisors is an integer number (193263616).

Almost surely, 25006618892 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 5006618892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957490176).

5006618892 is an abundant number, since it is smaller than the sum of its proper divisors (8908361460).

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

5006618892 is a wasteful number, since it uses less digits than its factorization.

5006618892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99699 (or 99694 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5006618892 is about 70757.4652739907. The cubic root of 5006618892 is about 1710.7301570463.

The spelling of 5006618892 in words is "five billion, six million, six hundred eighteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1143 1397 1524 2286 2794 4191 4572 5588 8382 12573 16764 25146 50292 99551 199102 298653 398204 597306 895959 1095061 1194612 1791918 2190122 3285183 3583836 4380244 6570366 9855549 12642977 13140732 19711098 25285954 37928931 39422196 50571908 75857862 113786793 139072747 151715724 227573586 278145494 417218241 455147172 556290988 834436482 1251654723 1668872964 2503309446 5006618892