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2776680368 = 2471119118621
BaseRepresentation
bin1010010110000000…
…1100011110110000
321011111210222101122
42211200030132300
521141312232433
61135305521412
7125544252020
oct24540143660
97144728348
102776680368
1111a5400070
12655aa3268
13353353b47
141c4ab3a80
15113b80198
hexa580c7b0

2776680368 has 80 divisors (see below), whose sum is σ = 7060381440. Its totient is φ = 1024876800.

The previous prime is 2776680337. The next prime is 2776680391. The reversal of 2776680368 is 8630866772.

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 15 ways as a sum of consecutive naturals, for example, 35903 + ... + 82718.

It is an arithmetic number, because the mean of its divisors is an integer number (88254768).

Almost surely, 22776680368 is an apocalyptic number.

2776680368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2776680368 is an abundant number, since it is smaller than the sum of its proper divisors (4283701072).

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

2776680368 is a wasteful number, since it uses less digits than its factorization.

2776680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118666 (or 118660 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The square root of 2776680368 is about 52694.2156977405. The cubic root of 2776680368 is about 1405.5359662021.

The spelling of 2776680368 in words is "two billion, seven hundred seventy-six million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 11704 23408 118621 237242 474484 830347 948968 1304831 1660694 1897936 2253799 2609662 3321388 4507598 5219324 6642776 9015196 9133817 10438648 13285552 15776593 18030392 18267634 20877296 24791789 31553186 36060784 36535268 49583578 63106372 73070536 99167156 126212744 146141072 173542523 198334312 252425488 347085046 396668624 694170092 1388340184 2776680368