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159536025152 = 267231252937
BaseRepresentation
bin1001010010010100010…
…1101000111001000000
3120020210100011210011022
42110211011220321000
510103212210301102
6201142334405012
714345310560600
oct2244505507100
9506710153138
10159536025152
1161727a21a79
1226b04360768
13120760b90aa
147a16058c00
15423ad8d5a2
hex2525168e40

159536025152 has 126 divisors (see below), whose sum is σ = 380535654726. Its totient is φ = 66165765120.

The previous prime is 159536025151. The next prime is 159536025161. The reversal of 159536025152 is 251520635951.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 147191926336 + 12344098816 = 383656^2 + 111104^2 .

It is not an unprimeable number, because it can be changed into a prime (159536025151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2987228 + ... + 3040164.

Almost surely, 2159536025152 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 159536025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190267827363).

159536025152 is an abundant number, since it is smaller than the sum of its proper divisors (220999629574).

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

159536025152 is an equidigital number, since it uses as much as digits as its factorization.

159536025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53025 (or 52977 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 44.

The spelling of 159536025152 in words is "one hundred fifty-nine billion, five hundred thirty-six million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 961 992 1519 1568 1736 1922 1984 3038 3136 3472 3844 6076 6727 6944 7688 12152 13454 13888 15376 24304 26908 30752 47089 48608 52937 53816 61504 94178 97216 105874 107632 188356 211748 215264 370559 376712 423496 430528 741118 753424 846992 1482236 1506848 1641047 1693984 2593913 2964472 3013696 3282094 3387968 5187826 5928944 6564188 10375652 11487329 11857888 13128376 20751304 22974658 23715776 26256752 41502608 45949316 50872457 52513504 80411303 83005216 91898632 101744914 105027008 160822606 166010432 183797264 203489828 321645212 356107199 367594528 406979656 643290424 712214398 735189056 813959312 1286580848 1424428796 1627918624 2492750393 2573161696 2848857592 3255837248 4985500786 5146323392 5697715184 9971001572 11395430368 19942003144 22790860736 39884006288 79768012576 159536025152