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159046196064 = 253721710631871
BaseRepresentation
bin1001010000011111100…
…1000101101101100000
3120012112012110212222020
42110013321011231200
510101211311233224
6201021555541440
714330212234500
oct2240771055540
9505465425866
10159046196064
11614a6482148
12269a82ba880
1311cc87855b2
1479aad8da00
15420cd83c79
hex2507e45b60

159046196064 has 288 divisors, whose sum is σ = 514985942016. Its totient is φ = 42705653760.

The previous prime is 159046196063. The next prime is 159046196083. The reversal of 159046196064 is 460691640951.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 159046195998 and 159046196016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159046196063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85005049 + ... + 85006919.

It is an arithmetic number, because the mean of its divisors is an integer number (1788145632).

Almost surely, 2159046196064 is an apocalyptic number.

159046196064 is a gapful number since it is divisible by the number (14) 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 159046196064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257492971008).

159046196064 is an abundant number, since it is smaller than the sum of its proper divisors (355939745952).

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

159046196064 is a wasteful number, since it uses less digits than its factorization.

159046196064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 159046196064 in words is "one hundred fifty-nine billion, forty-six million, one hundred ninety-six thousand, sixty-four".