Search a number
-
+
159136963920 = 2432511219127757
BaseRepresentation
bin1001010000110101001…
…1010101110101010000
3120012202112021101001200
42110031103111311100
510101403030321140
6201035001231200
714332363606014
oct2241523256520
9505675241050
10159136963920
1161542738400
1226a12792500
1312011515b9c
1479b905a544
154215d13030
hex250d4d5d50

159136963920 has 720 divisors, whose sum is σ = 624046725120. Its totient is φ = 36212520960.

The previous prime is 159136963889. The next prime is 159136963949. The reversal of 159136963920 is 29369631951.

159136963920 is a `hidden beast` number, since 159 + 13 + 6 + 96 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 210220182 + ... + 210220938.

Almost surely, 2159136963920 is an apocalyptic number.

159136963920 is a gapful number since it is divisible by the number (10) 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 159136963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312023362560).

159136963920 is an abundant number, since it is smaller than the sum of its proper divisors (464909761200).

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

159136963920 is a wasteful number, since it uses less digits than its factorization.

159136963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 159136963920 in words is "one hundred fifty-nine billion, one hundred thirty-six million, nine hundred sixty-three thousand, nine hundred twenty".