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6041965540 = 2251323238329
BaseRepresentation
bin1011010000010000…
…10001001111100100
3120121002000122120111
411220020101033210
544333220344130
62435312142404
7302503600612
oct55010211744
916532018514
106041965540
112620594156
121207537a04
137539a0150
144146146b2
1525567702a
hex1682113e4

6041965540 has 24 divisors (see below), whose sum is σ = 13664138040. Its totient is φ = 2230879488.

The previous prime is 6041965537. The next prime is 6041965543. The reversal of 6041965540 is 455691406.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6041965537) and next prime (6041965543).

It can be written as a sum of positive squares in 4 ways, for example, as 1404900324 + 4637065216 = 37482^2 + 68096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6041965493 and 6041965502.

It is not an unprimeable number, because it can be changed into a prime (6041965543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11618905 + ... + 11619424.

It is an arithmetic number, because the mean of its divisors is an integer number (569339085).

Almost surely, 26041965540 is an apocalyptic number.

It is an amenable number.

6041965540 is an abundant number, since it is smaller than the sum of its proper divisors (7622172500).

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

6041965540 is a wasteful number, since it uses less digits than its factorization.

6041965540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238351 (or 23238349 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 6041965540 is about 77730.0813070461. The cubic root of 6041965540 is about 1821.3472233221.

The spelling of 6041965540 in words is "six billion, forty-one million, nine hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 23238329 46476658 92953316 116191645 232383290 302098277 464766580 604196554 1208393108 1510491385 3020982770 6041965540