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3565161000960 = 2123513291491033
BaseRepresentation
bin110011111000010100001…
…001111011000000000000
3110121211022012101210210120
4303320110021323000000
5431402422204012320
611325451245100240
7515401004334246
oct63702411730000
913554265353716
103565161000960
111154a81494689
12496b51257680
131cb268717980
14c47aa1c0796
1562b10c35440
hex33e1427b000

3565161000960 has 832 divisors, whose sum is σ = 12805874928000. Its totient is φ = 840815345664.

The previous prime is 3565161000959. The next prime is 3565161000997. The reversal of 3565161000960 is 690001615653.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×35651610009602 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3451268604 + ... + 3451269636.

Almost surely, 23565161000960 is an apocalyptic number.

3565161000960 is a gapful number since it is divisible by the number (30) 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 3565161000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402937464000).

3565161000960 is an abundant number, since it is smaller than the sum of its proper divisors (9240713927040).

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

3565161000960 is a wasteful number, since it uses less digits than its factorization.

3565161000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 3565161000960 in words is "three trillion, five hundred sixty-five billion, one hundred sixty-one million, nine hundred sixty", and thus it is an aban number.