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61418204514 = 2322327190847
BaseRepresentation
bin111001001100110011…
…110110110101100010
312212112100012001121100
4321030303312311202
52001241030021024
644114245135230
74303000060512
oct711463666542
9185470161540
1061418204514
1124057a80107
12baa09ba516
135a3a510a64
142d88d83842
1518e6ee17c9
hexe4ccf6d62

61418204514 has 72 divisors (see below), whose sum is σ = 141070954752. Its totient is φ = 19306591920.

The previous prime is 61418204483. The next prime is 61418204521. The reversal of 61418204514 is 41540281416.

61418204514 is a `hidden beast` number, since 61 + 4 + 1 + 82 + 0 + 4 + 514 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 630639 + ... + 721485.

It is an arithmetic number, because the mean of its divisors is an integer number (1959318816).

Almost surely, 261418204514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61418204514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70535477376).

61418204514 is an abundant number, since it is smaller than the sum of its proper divisors (79652750238).

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

61418204514 is a wasteful number, since it uses less digits than its factorization.

61418204514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90972 (or 90946 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 61418204514 in words is "sixty-one billion, four hundred eighteen million, two hundred four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 71 138 142 207 213 414 426 529 639 1058 1278 1587 1633 3174 3266 4761 4899 9522 9798 14697 29394 37559 75118 90847 112677 181694 225354 272541 338031 545082 676062 817623 1635246 2089481 4178962 6268443 6450137 12536886 12900274 18805329 19350411 37610658 38700822 48058063 58051233 96116126 116102466 144174189 148353151 288348378 296706302 432522567 445059453 865045134 890118906 1335178359 2670356718 3412122473 6824244946 10236367419 20472734838 30709102257 61418204514