Search a number
-
+
61395748512 = 253791362721
BaseRepresentation
bin111001001011011110…
…001100011010100000
312212110202221011202120
4321023132030122200
52001214302423022
644112123544240
74302305152230
oct711336143240
9185422834676
1061395748512
112404633262a
12ba9538b080
135a3597a797
142d85db9cc0
1518e5057d5c
hexe4b78c6a0

61395748512 has 48 divisors (see below), whose sum is σ = 184187247552. Its totient is φ = 17541642240.

The previous prime is 61395748507. The next prime is 61395748529. The reversal of 61395748512 is 21584759316.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45680689 + ... + 45682032.

It is an arithmetic number, because the mean of its divisors is an integer number (3837234324).

Almost surely, 261395748512 is an apocalyptic number.

It is an amenable number.

61395748512 is an abundant number, since it is smaller than the sum of its proper divisors (122791499040).

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

61395748512 is a wasteful number, since it uses less digits than its factorization.

61395748512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91362741 (or 91362733 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 61395748512 in words is "sixty-one billion, three hundred ninety-five million, seven hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 91362721 182725442 274088163 365450884 548176326 639539047 730901768 1096352652 1279078094 1461803536 1918617141 2192705304 2558156188 2923607072 3837234282 4385410608 5116312376 7674468564 8770821216 10232624752 15348937128 20465249504 30697874256 61395748512