Base | Representation |
---|---|
bin | 1001010011110010011… |
… | …0000110000000000000 |
3 | 120021210211021120001000 |
4 | 2110330212012000000 |
5 | 10110014141041320 |
6 | 201245423412000 |
7 | 14361140021610 |
oct | 2247446060000 |
9 | 507724246030 |
10 | 159930408960 |
11 | 6190a601403 |
12 | 26bb4454000 |
13 | 12109a122aa |
14 | 7a5259aa40 |
15 | 42607e2c90 |
hex | 253c986000 |
159930408960 has 896 divisors, whose sum is σ = 661065845760. Its totient is φ = 35927359488.
The previous prime is 159930408959. The next prime is 159930408961. The reversal of 159930408960 is 69804039951.
159930408960 is a `hidden beast` number, since 1 + 599 + 3 + 0 + 40 + 8 + 9 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (159930408959) and next prime (159930408961).
It is a tau number, because it is divible by the number of its divisors (896).
It is a super-2 number, since 2×1599304089602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 159930408897 and 159930408906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (159930408961) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565124979 + ... + 565125261.
Almost surely, 2159930408960 is an apocalyptic number.
159930408960 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 159930408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330532922880).
159930408960 is an abundant number, since it is smaller than the sum of its proper divisors (501135436800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
159930408960 is an equidigital number, since it uses as much as digits as its factorization.
159930408960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 403 (or 373 counting only the distinct ones).
The product of its (nonzero) digits is 2099520, while the sum is 54.
The spelling of 159930408960 in words is "one hundred fifty-nine billion, nine hundred thirty million, four hundred eight thousand, nine hundred sixty".
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