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549461940049 = 1127928532
BaseRepresentation
bin1111111111011100111…
…10111101011101010001
31221112020221120121101001
413333232132331131101
533000244224040144
61100230324142001
754461115300241
oct7775636753521
91845227517331
10549461940049
111a2030a39100
128a5a5837901
133ca7759ac19
141c8462d1b21
15e45d142bd4
hex7fee7bd751

549461940049 has 27 divisors (see below), whose sum is σ = 612413744859. Its totient is φ = 492609751920.

The previous prime is 549461940031. The next prime is 549461940059. The reversal of 549461940049 is 940049164945.

The square root of 549461940049 is 741257.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31735641025 + 517726299024 = 178145^2 + 719532^2 .

It is not a de Polignac number, because 549461940049 - 211 = 549461938001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (549461940029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 644151907 + ... + 644152759.

Almost surely, 2549461940049 is an apocalyptic number.

549461940049 is the 741257-th square number.

549461940049 is the 370629-th centered octagonal number.

It is an amenable number.

549461940049 is a deficient number, since it is larger than the sum of its proper divisors (62951804810).

549461940049 is an frugal number, since it uses more digits than its factorization.

549461940049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 549461940049 in words is "five hundred forty-nine billion, four hundred sixty-one million, nine hundred forty thousand, forty-nine".

Divisors: 1 11 79 121 853 869 6241 9383 9559 67387 68651 103213 727609 741257 755161 5323573 8003699 8153827 57481111 58559303 88040689 632292221 644152333 4541007769 6955214431 49951085459 549461940049