Search a number
-
+
5521579164 = 223531318149
BaseRepresentation
bin1010010010001110…
…01001110010011100
3112020210211021200000
411021013021302130
542302011013124
62311522334300
7253554435303
oct51107116234
915223737600
105521579164
112383873172
1210a11ba390
1369cc2ab0a
143a547343a
15224b336c9
hex1491c9c9c

5521579164 has 72 divisors (see below), whose sum is σ = 14521306800. Its totient is φ = 1834545024.

The previous prime is 5521579163. The next prime is 5521579181. The reversal of 5521579164 is 4619751255.

It is a happy number.

5521579164 is a `hidden beast` number, since 55 + 21 + 579 + 1 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5521579163) 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, 295162 + ... + 313310.

Almost surely, 25521579164 is an apocalyptic number.

5521579164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5521579164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260653400).

5521579164 is an abundant number, since it is smaller than the sum of its proper divisors (8999727636).

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

5521579164 is a wasteful number, since it uses less digits than its factorization.

5521579164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18481 (or 18467 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 5521579164 is about 74307.3291405363. The cubic root of 5521579164 is about 1767.4796994628.

The spelling of 5521579164 in words is "five billion, five hundred twenty-one million, five hundred seventy-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 313 324 486 626 939 972 1252 1878 2817 3756 5634 8451 11268 16902 18149 25353 33804 36298 50706 54447 72596 76059 101412 108894 152118 163341 217788 304236 326682 490023 653364 980046 1470069 1960092 2940138 4410207 5680637 5880276 8820414 11361274 17041911 17640828 22722548 34083822 51125733 68167644 102251466 153377199 204502932 306754398 460131597 613508796 920263194 1380394791 1840526388 2760789582 5521579164