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159213342132 = 223213340199449
BaseRepresentation
bin1001010001000111011…
…0101100110110110100
3120012221211222210021100
42110101312230312310
510102032103422012
6201050330250100
714334312036015
oct2242166546664
9505854883240
10159213342132
1161581865499
1226a34286930
13120242a88b0
1479c525d00c
15421c89d8dc
hex2511dacdb4

159213342132 has 36 divisors (see below), whose sum is σ = 433414099300. Its totient is φ = 48988720512.

The previous prime is 159213342131. The next prime is 159213342143. The reversal of 159213342132 is 231243312951.

159213342132 is a `hidden beast` number, since 1 + 592 + 1 + 3 + 34 + 2 + 1 + 32 = 666.

159213342132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35417734416 + 123795607716 = 188196^2 + 351846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159213342131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170099257 + ... + 170100192.

Almost surely, 2159213342132 is an apocalyptic number.

159213342132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

159213342132 is an abundant number, since it is smaller than the sum of its proper divisors (274200757168).

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

159213342132 is a wasteful number, since it uses less digits than its factorization.

159213342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340199472 (or 340199467 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 159213342132 in words is "one hundred fifty-nine billion, two hundred thirteen million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 340199449 680398898 1020598347 1360797796 2041196694 3061795041 4082393388 4422592837 6123590082 8845185674 12247180164 13267778511 17690371348 26535557022 39803335533 53071114044 79606671066 159213342132