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6677377056 = 253273312191
BaseRepresentation
bin1100011100000000…
…01011000000100000
3122020100122220022100
412032000023000200
5102133402031211
63022331210400
7324320524410
oct61600130040
918210586270
106677377056
112917229239
1213642a6a00
13825516bac
14474b78640
1529133c156
hex18e00b020

6677377056 has 72 divisors (see below), whose sum is σ = 21701481984. Its totient is φ = 1907821440.

The previous prime is 6677377037. The next prime is 6677377067. The reversal of 6677377056 is 6507737766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 6677376993 and 6677377011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1654080 + ... + 1658111.

It is an arithmetic number, because the mean of its divisors is an integer number (301409472).

Almost surely, 26677377056 is an apocalyptic number.

It is an amenable number.

6677377056 is an abundant number, since it is smaller than the sum of its proper divisors (15024104928).

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

6677377056 is a wasteful number, since it uses less digits than its factorization.

6677377056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312214 (or 3312203 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The square root of 6677377056 is about 81715.2192434188. The cubic root of 6677377056 is about 1883.0794047252.

The spelling of 6677377056 in words is "six billion, six hundred seventy-seven million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3312191 6624382 9936573 13248764 19873146 23185337 26497528 29809719 39746292 46370674 52995056 59619438 69556011 79492584 92741348 105990112 119238876 139112022 158985168 185482696 208668033 238477752 278224044 317970336 370965392 417336066 476955504 556448088 741930784 834672132 953911008 1112896176 1669344264 2225792352 3338688528 6677377056