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2778895056 = 243723138113
BaseRepresentation
bin1010010110100010…
…1001001011010000
321011122222111101010
42211220221023100
521142344120211
61135425210520
7125602134600
oct24550511320
97148874333
102778895056
1111a6682a93
12656790a40
1335394ac02
141c50ccc00
15113e6b4a6
hexa5a292d0

2778895056 has 120 divisors (see below), whose sum is σ = 8620472064. Its totient is φ = 768337920.

The previous prime is 2778895033. The next prime is 2778895079. The reversal of 2778895056 is 6505988772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2778895033) and next prime (2778895079).

It is a super-2 number, since 2×27788950562 = 15444515464522486272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2778894987 and 2778895005.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53856 + ... + 91968.

Almost surely, 22778895056 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 2778895056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310236032).

2778895056 is an abundant number, since it is smaller than the sum of its proper divisors (5841577008).

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

2778895056 is a wasteful number, since it uses less digits than its factorization.

2778895056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38169 (or 38156 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The square root of 2778895056 is about 52715.2260357480. The cubic root of 2778895056 is about 1405.9095533629.

The spelling of 2778895056 in words is "two billion, seven hundred seventy-eight million, eight hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 38113 72912 76226 114339 152452 228678 266791 304904 457356 533582 609808 800373 914712 1067164 1181503 1600746 1829424 1867537 2134328 2363006 3201492 3544509 3735074 4268656 4726012 5602611 6402984 7089018 7470148 8270521 9452024 11205222 12805968 14178036 14940296 16541042 18904048 22410444 24811563 28356072 29880592 33082084 44820888 49623126 56712144 57893647 66164168 89641776 99246252 115787294 132328336 173680941 198492504 231574588 347361882 396985008 463149176 694723764 926298352 1389447528 2778895056