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6770038752 = 253322934217
BaseRepresentation
bin1100100111000011…
…01001011111100000
3122110211000121021000
412103201221133200
5102331112220002
63035441232000
7326524244211
oct62341513740
918424017230
106770038752
112964568354
12138b332600
1383b78b4b9
144831b9408
1529954261c
hex1938697e0

6770038752 has 96 divisors (see below), whose sum is σ = 19832752800. Its totient is φ = 2246759424.

The previous prime is 6770038733. The next prime is 6770038783. The reversal of 6770038752 is 2578300776.

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

It is a junction number, because it is equal to n+sod(n) for n = 6770038698 and 6770038707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180748 + ... + 214964.

It is an arithmetic number, because the mean of its divisors is an integer number (206591175).

Almost surely, 26770038752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6770038752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916376400).

6770038752 is an abundant number, since it is smaller than the sum of its proper divisors (13062714048).

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

6770038752 is a wasteful number, since it uses less digits than its factorization.

6770038752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34465 (or 34451 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 6770038752 is about 82280.2452111076. The cubic root of 6770038752 is about 1891.7498935620.

The spelling of 6770038752 in words is "six billion, seven hundred seventy million, thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 288 432 458 687 864 916 1374 1832 2061 2748 3664 4122 5496 6183 7328 8244 10992 12366 16488 21984 24732 32976 34217 49464 65952 68434 98928 102651 136868 197856 205302 273736 307953 410604 547472 615906 821208 923859 1094944 1231812 1642416 1847718 2463624 3284832 3695436 4927248 7390872 7835693 9854496 14781744 15671386 23507079 29563488 31342772 47014158 62685544 70521237 94028316 125371088 141042474 188056632 211563711 250742176 282084948 376113264 423127422 564169896 752226528 846254844 1128339792 1692509688 2256679584 3385019376 6770038752