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755680466268 = 22327213103463691
BaseRepresentation
bin10101111111100100001…
…00001101010101011100
32200020112200010011011100
422333302010031111130
544340113144410033
61335053234553100
7105411315660300
oct12776204152534
92606480104140
10755680466268
11271533a17072
12102557a38790
13563500287c0
142880a227d00
15149cc4b8513
hexaff210d55c

755680466268 has 432 divisors, whose sum is σ = 2424943911936. Its totient is φ = 196654106880.

The previous prime is 755680466213. The next prime is 755680466291. The reversal of 755680466268 is 862664086557.

It is a happy number.

755680466268 is a `hidden beast` number, since 7 + 5 + 568 + 0 + 4 + 6 + 6 + 2 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1093603803 + ... + 1093604493.

Almost surely, 2755680466268 is an apocalyptic number.

755680466268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755680466268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212471955968).

755680466268 is an abundant number, since it is smaller than the sum of its proper divisors (1669263445668).

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

755680466268 is a wasteful number, since it uses less digits than its factorization.

755680466268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 755680466268 in words is "seven hundred fifty-five billion, six hundred eighty million, four hundred sixty-six thousand, two hundred sixty-eight".