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2775770816 = 26721368087
BaseRepresentation
bin1010010101110010…
…1110011011000000
321011110002202201112
42211130232123000
521141044131231
61135234222452
7125533443200
oct24534563300
97143082645
102775770816
1111a4939775
12655724a28
133530c5b50
141c4918400
15113a5092b
hexa572e6c0

2775770816 has 84 divisors (see below), whose sum is σ = 6900446448. Its totient is φ = 1098091008.

The previous prime is 2775770813. The next prime is 2775770827. The reversal of 2775770816 is 6180775772.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2775770813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6725 + ... + 74811.

It is an arithmetic number, because the mean of its divisors is an integer number (82148172).

Almost surely, 22775770816 is an apocalyptic number.

2775770816 is a gapful number since it is divisible by the number (26) 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 2775770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450223224).

2775770816 is an abundant number, since it is smaller than the sum of its proper divisors (4124675632).

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

2775770816 is a wasteful number, since it uses less digits than its factorization.

2775770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68126 (or 68109 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 50.

The square root of 2775770816 is about 52685.5845179685. The cubic root of 2775770816 is about 1405.3824798450.

The spelling of 2775770816 in words is "two billion, seven hundred seventy-five million, seven hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 10192 20384 40768 68087 136174 272348 476609 544696 885131 953218 1089392 1770262 1906436 2178784 3336263 3540524 3812872 4357568 6195917 6672526 7081048 7625744 12391834 13345052 14162096 15251488 24783668 26690104 28324192 30502976 43371419 49567336 53380208 56648384 86742838 99134672 106760416 173485676 198269344 213520832 346971352 396538688 693942704 1387885408 2775770816