Search a number
-
+
159394904064 = 21132112293433
BaseRepresentation
bin1001010001110010101…
…1010011100000000000
3120020102111122002102100
42110130223103200000
510102420043412224
6201120333550400
714341645221054
oct2243453234000
9506374562370
10159394904064
11616652a4680
1226a85045400
1312052aa86a6
147a01401c64
15422d7b4ac9
hex251cad3800

159394904064 has 288 divisors, whose sum is σ = 504552812400. Its totient is φ = 48076554240.

The previous prime is 159394904057. The next prime is 159394904089. The reversal of 159394904064 is 460409493951.

It is a happy number.

159394904064 is a `hidden beast` number, since 1 + 5 + 93 + 9 + 490 + 4 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 159394904064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46428492 + ... + 46431924.

Almost surely, 2159394904064 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 159394904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252276406200).

159394904064 is an abundant number, since it is smaller than the sum of its proper divisors (345157908336).

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

159394904064 is a wasteful number, since it uses less digits than its factorization.

159394904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 159394904064 in words is "one hundred fifty-nine billion, three hundred ninety-four million, nine hundred four thousand, sixty-four".