Search a number
-
+
133151451534 = 23331148953419
BaseRepresentation
bin111110000000001110…
…0011110100110001110
3110201200112221120102000
41330000130132212032
54140143232422114
6141100253413130
712422421443463
oct1740034364616
9421615846360
10133151451534
1151518583332
122198019a1a6
13c72ca7585a
146631c5766a
1536e4871e09
hex1f0071e98e

133151451534 has 64 divisors (see below), whose sum is σ = 305647872000. Its totient is φ = 42922431360.

The previous prime is 133151451509. The next prime is 133151451557. The reversal of 133151451534 is 435154151331.

133151451534 is a `hidden beast` number, since 1 + 3 + 3 + 151 + 451 + 53 + 4 = 666.

It is a super-2 number, since 2×1331514515342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2465877 + ... + 2519295.

It is an arithmetic number, because the mean of its divisors is an integer number (4775748000).

Almost surely, 2133151451534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133151451534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152823936000).

133151451534 is an abundant number, since it is smaller than the sum of its proper divisors (172496420466).

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

133151451534 is a wasteful number, since it uses less digits than its factorization.

133151451534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54950 (or 54944 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 133151451534 in words is "one hundred thirty-three billion, one hundred fifty-one million, four hundred fifty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1489 1674 2978 4467 8934 13401 26802 40203 46159 53419 80406 92318 106838 138477 160257 276954 320514 415431 480771 830862 961542 1246293 1442313 1655989 2492586 2884626 3311978 4967967 9935934 14903901 29807802 44711703 79540891 89423406 159081782 238622673 477245346 715868019 1431736038 2147604057 2465767621 4295208114 4931535242 7397302863 14794605726 22191908589 44383817178 66575725767 133151451534