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61353680553 = 33112941173741
BaseRepresentation
bin111001001000111101…
…101101111010101001
312212100211202220101000
4321020331231322221
52001123020234203
644104022145213
74301254452144
oct711075557251
9185324686330
1061353680553
112402460a320
12ba83282209
135a2a03b8b9
142d8058905b
1518e14e84a3
hexe48f6dea9

61353680553 has 64 divisors (see below), whose sum is σ = 105079161600. Its totient is φ = 35025984000.

The previous prime is 61353680551. The next prime is 61353680581. The reversal of 61353680553 is 35508635316.

It is a happy number.

61353680553 is a `hidden beast` number, since 6 + 1 + 35 + 3 + 68 + 0 + 553 = 666.

It is not a de Polignac number, because 61353680553 - 21 = 61353680551 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61353680499 and 61353680508.

It is not an unprimeable number, because it can be changed into a prime (61353680551) 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, 266263 + ... + 440003.

It is an arithmetic number, because the mean of its divisors is an integer number (1641861900).

Almost surely, 261353680553 is an apocalyptic number.

It is an amenable number.

61353680553 is a deficient number, since it is larger than the sum of its proper divisors (43725481047).

61353680553 is a wasteful number, since it uses less digits than its factorization.

61353680553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173831 (or 173825 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 61353680553 in words is "sixty-one billion, three hundred fifty-three million, six hundred eighty thousand, five hundred fifty-three".

Divisors: 1 3 9 11 27 29 33 41 87 99 123 261 297 319 369 451 783 957 1107 1189 1353 2871 3567 4059 8613 10701 12177 13079 32103 39237 117711 173741 353133 521223 1563669 1911151 4691007 5038489 5733453 7123381 15115467 17200359 21370143 45346401 51601077 55423379 64110429 78357191 136039203 166270137 192331287 206578049 235071573 498810411 619734147 705214719 1496431233 1859202441 2115644157 2272358539 5577607323 6817075617 20451226851 61353680553