Search a number
-
+
5442179022 = 233723166347
BaseRepresentation
bin1010001000110000…
…10000111111001110
3112001021102100011000
411010120100333032
542121144212042
62300004441130
7251601521100
oct50430207716
915037370130
105442179022
112342a71715
12107a6a91a6
1368964a797
14398ac5570
1521cb9c74c
hex144610fce

5442179022 has 96 divisors (see below), whose sum is σ = 14522250240. Its totient is φ = 1504727280.

The previous prime is 5442178999. The next prime is 5442179047. The reversal of 5442179022 is 2209712445.

5442179022 is a `hidden beast` number, since 544 + 2 + 1 + 7 + 90 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48853 + ... + 115199.

It is an arithmetic number, because the mean of its divisors is an integer number (151273440).

Almost surely, 25442179022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5442179022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261125120).

5442179022 is an abundant number, since it is smaller than the sum of its proper divisors (9080071218).

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

5442179022 is a wasteful number, since it uses less digits than its factorization.

5442179022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66403 (or 66390 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5442179022 is about 73771.1259369138. The cubic root of 5442179022 is about 1758.9666607667.

The spelling of 5442179022 in words is "five billion, four hundred forty-two million, one hundred seventy-nine thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 1302 1323 1519 1674 1953 2646 3038 3906 4557 5859 9114 11718 13671 27342 41013 66347 82026 132694 199041 398082 464429 597123 928858 1194246 1393287 1791369 2056757 2786574 3251003 3582738 4113514 4179861 6170271 6502006 8359722 9753009 12340542 12539583 14397299 18510813 19506018 25079166 28794598 29259027 37021626 43191897 55532439 58518054 86383794 87777081 100781093 111064878 129575691 175554162 201562186 259151382 302343279 388727073 604686558 777454146 907029837 1814059674 2721089511 5442179022