Search a number
-
+
549330033945 = 357111237384487
BaseRepresentation
bin1111111111001101001…
…11110001110100011001
31221111220202101002012210
413333212213301310121
533000011442041240
61100205253025333
754454624150320
oct7774647616431
91844822332183
10549330033945
111a1a735350a0
128a569625249
133ca56165984
141c8329970b7
15e451789780
hex7fe69f1d19

549330033945 has 64 divisors (see below), whose sum is σ = 1096695115776. Its totient is φ = 228107854080.

The previous prime is 549330033943. The next prime is 549330033971.

It is a happy number.

549330033945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 549330033945 - 21 = 549330033943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 549330033894 and 549330033903.

It is not an unprimeable number, because it can be changed into a prime (549330033943) 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, 1236492 + ... + 1620978.

It is an arithmetic number, because the mean of its divisors is an integer number (17135861184).

Almost surely, 2549330033945 is an apocalyptic number.

549330033945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

549330033945 is a deficient number, since it is larger than the sum of its proper divisors (547365081831).

549330033945 is a wasteful number, since it uses less digits than its factorization.

549330033945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385750.

The product of its (nonzero) digits is 2624400, while the sum is 48.

The spelling of 549330033945 in words is "five hundred forty-nine billion, three hundred thirty million, thirty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 1237 3711 6185 8659 13607 18555 25977 40821 43295 68035 95249 129885 204105 285747 384487 476245 1153461 1428735 1922435 2691409 4229357 5767305 8074227 12688071 13457045 21146785 29605499 40371135 63440355 88816497 148027495 444082485 475610419 1426831257 2378052095 3329272933 5231714609 7134156285 9987818799 15695143827 16646364665 26158573045 36622002263 49939093995 78475719135 109866006789 183110011315 549330033945