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159083195040 = 253257117431931
BaseRepresentation
bin1001010000101000011…
…0001110101010100000
3120012121210002122000200
42110022012032222200
510101300244220130
6201025400545200
714331141563310
oct2241206165240
9505553078020
10159083195040
1161515353010
12269b8782200
131200333b193
1479b1c61440
154211241760
hex250a18eaa0

159083195040 has 576 divisors, whose sum is σ = 678088599552. Its totient is φ = 32994662400.

The previous prime is 159083194999. The next prime is 159083195053. The reversal of 159083195040 is 40591380951.

159083195040 is a `hidden beast` number, since 1 + 59 + 0 + 83 + 19 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82382875 + ... + 82384805.

It is an arithmetic number, because the mean of its divisors is an integer number (1177237152).

Almost surely, 2159083195040 is an apocalyptic number.

159083195040 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 159083195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339044299776).

159083195040 is an abundant number, since it is smaller than the sum of its proper divisors (519005404512).

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

159083195040 is a wasteful number, since it uses less digits than its factorization.

159083195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 159083195040 in words is "one hundred fifty-nine billion, eighty-three million, one hundred ninety-five thousand, forty".