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5440126164 = 2231141224517
BaseRepresentation
bin1010001000100000…
…11011110011010100
3112001010120001011020
411010100123303110
542120133014124
62255452441140
7251545211064
oct50420336324
915033501136
105440126164
11234189a340
121079a791b0
136890ac285
1439870d3a4
1521c8e4379
hex14441bcd4

5440126164 has 72 divisors (see below), whose sum is σ = 14194156704. Its totient is φ = 1608249600.

The previous prime is 5440126127. The next prime is 5440126183. The reversal of 5440126164 is 4616210445.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209634 + ... + 234150.

Almost surely, 25440126164 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 5440126164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097078352).

5440126164 is an abundant number, since it is smaller than the sum of its proper divisors (8754030540).

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

5440126164 is a wasteful number, since it uses less digits than its factorization.

5440126164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24617 (or 24574 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5440126164 is about 73757.2109288305. The cubic root of 5440126164 is about 1758.7454648763.

The spelling of 5440126164 in words is "five billion, four hundred forty million, one hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1681 1804 2706 3362 5043 5412 6724 10086 18491 20172 24517 36982 49034 55473 73551 73964 98068 110946 147102 221892 269687 294204 539374 809061 1005197 1078748 1618122 2010394 3015591 3236244 4020788 6031182 11057167 12062364 22114334 33171501 41213077 44228668 66343002 82426154 123639231 132686004 164852308 247278462 453343847 494556924 906687694 1360031541 1813375388 2720063082 5440126164