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5431153104 = 24321313122147
BaseRepresentation
bin1010000111011100…
…01101000111010000
3112000111200011102200
411003232031013100
542110333344404
62254532243200
7251406016416
oct50356150720
915014604380
105431153104
112337820793
121076a70500
13687289c80
143974552b6
1521bc20839
hex143b8d1d0

5431153104 has 120 divisors (see below), whose sum is σ = 16494590112. Its totient is φ = 1658292480.

The previous prime is 5431153087. The next prime is 5431153121. The reversal of 5431153104 is 4013511345.

It is a happy number.

5431153104 is a `hidden beast` number, since 543 + 1 + 15 + 3 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (5431153087) and next prime (5431153121).

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, 234159 + ... + 256305.

Almost surely, 25431153104 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 5431153104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8247295056).

5431153104 is an abundant number, since it is smaller than the sum of its proper divisors (11063437008).

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

5431153104 is a wasteful number, since it uses less digits than its factorization.

5431153104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305 (or 22296 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5431153104 is about 73696.3574676524. The cubic root of 5431153104 is about 1757.7779619942. Note that the first 3 decimals are identical.

Adding to 5431153104 its reverse (4013511345), we get a palindrome (9444664449).

The spelling of 5431153104 in words is "five billion, four hundred thirty-one million, one hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 524 624 786 936 1048 1179 1572 1703 1872 2096 2358 3144 3406 4716 5109 6288 6812 9432 10218 13624 15327 18864 20436 22147 27248 30654 40872 44294 61308 66441 81744 88588 122616 132882 177176 199323 245232 265764 287911 354352 398646 531528 575822 797292 863733 1063056 1151644 1594584 1727466 2303288 2591199 2901257 3189168 3454932 4606576 5182398 5802514 6909864 8703771 10364796 11605028 13819728 17407542 20729592 23210056 26111313 34815084 37716341 41459184 46420112 52222626 69630168 75432682 104445252 113149023 139260336 150865364 208890504 226298046 301730728 339447069 417781008 452596092 603461456 678894138 905192184 1357788276 1810384368 2715576552 5431153104