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30253453164 = 2232111731144967
BaseRepresentation
bin11100001011001111…
…110000111101101100
32220002102012122202100
4130023033300331230
5443424341000124
621522004255100
72120465052234
oct341317607554
986072178670
1030253453164
1111915316160
125a439a1490
132b11a4649c
14166dd82cc4
15bc0ee11c9
hex70b3f0f6c

30253453164 has 144 divisors (see below), whose sum is σ = 91183712256. Its totient is φ = 8350041600.

The previous prime is 30253453151. The next prime is 30253453183. The reversal of 30253453164 is 46135435203.

30253453164 is a `hidden beast` number, since 30 + 2 + 5 + 34 + 531 + 64 = 666.

It is a super-2 number, since 2×302534531642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 136209 + ... + 281175.

It is an arithmetic number, because the mean of its divisors is an integer number (633220224).

Almost surely, 230253453164 is an apocalyptic number.

30253453164 is a gapful number since it is divisible by the number (34) 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 30253453164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45591856128).

30253453164 is an abundant number, since it is smaller than the sum of its proper divisors (60930259092).

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

30253453164 is a wasteful number, since it uses less digits than its factorization.

30253453164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145036 (or 145031 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 30253453164 its reverse (46135435203), we get a palindrome (76388888367).

The spelling of 30253453164 in words is "thirty billion, two hundred fifty-three million, four hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 124 132 153 186 187 198 204 279 306 341 372 374 396 527 558 561 612 682 748 1023 1054 1116 1122 1364 1581 1683 2046 2108 2244 3069 3162 3366 4092 4743 5797 6138 6324 6732 9486 11594 12276 17391 18972 23188 34782 52173 69564 104346 144967 208692 289934 434901 579868 869802 1304703 1594637 1739604 2464439 2609406 3189274 4493977 4783911 4928878 5218812 6378548 7393317 8987954 9567822 9857756 13481931 14351733 14786634 17975908 19135644 22179951 26963862 27108829 28703466 29573268 40445793 44359902 49433747 53927724 54217658 57406932 76397609 80891586 81326487 88719804 98867494 108435316 148301241 152795218 161783172 162652974 197734988 229192827 243979461 296602482 305590436 325305948 444903723 458385654 487958922 593204964 687578481 840373699 889807446 916771308 975917844 1375156962 1680747398 1779614892 2521121097 2750313924 3361494796 5042242194 7563363291 10084484388 15126726582 30253453164