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195455760768 = 2732519732647
BaseRepresentation
bin1011011000001000010…
…0100011100110000000
3200200111122111102011200
42312002010203212000
511200243133321033
6225442515141200
720056401361062
oct2660204434600
9620448442150
10195455760768
117598a754a94
1231a698a4800
131557ba26418
14966277b732
15513e548013
hex2d82123980

195455760768 has 96 divisors (see below), whose sum is σ = 562569767760. Its totient is φ = 65137388544.

The previous prime is 195455760763. The next prime is 195455760791. The reversal of 195455760768 is 867067554591.

195455760768 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 557 + 6 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195455760763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5970621 + ... + 6003267.

Almost surely, 2195455760768 is an apocalyptic number.

195455760768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

195455760768 is an abundant number, since it is smaller than the sum of its proper divisors (367114006992).

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

195455760768 is a wasteful number, since it uses less digits than its factorization.

195455760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37864 (or 37849 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 195455760768 in words is "one hundred ninety-five billion, four hundred fifty-five million, seven hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5197 10394 15591 20788 31182 32647 41576 46773 62364 65294 83152 93546 97941 124728 130588 166304 187092 195882 249456 261176 293823 332608 374184 391764 498912 522352 587646 665216 748368 783528 997824 1044704 1175292 1496736 1567056 1995648 2089408 2350584 2993472 3134112 4178816 4701168 5986944 6268224 9402336 12536448 18804672 37609344 169666459 339332918 508999377 678665836 1017998754 1357331672 1526998131 2035997508 2714663344 3053996262 4071995016 5429326688 6107992524 8143990032 10858653376 12215985048 16287980064 21717306752 24431970096 32575960128 48863940192 65151920256 97727880384 195455760768