Search a number
-
+
2768012775 = 3252114012789
BaseRepresentation
bin1010010011111100…
…1000010111100111
321010220111121200200
42210333020113213
521132102402100
61134400041543
7125410502043
oct24477102747
97126447620
102768012775
1111a051aa70
126530032b3
1335160a8a8
141c3899023
1511301be00
hexa4fc85e7

2768012775 has 72 divisors (see below), whose sum is σ = 5423960880. Its totient is φ = 1338240000.

The previous prime is 2768012773. The next prime is 2768012791. The reversal of 2768012775 is 5772108672.

It is not a de Polignac number, because 2768012775 - 21 = 2768012773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2768012775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768012771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 991081 + ... + 993869.

It is an arithmetic number, because the mean of its divisors is an integer number (75332790).

Almost surely, 22768012775 is an apocalyptic number.

2768012775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2768012775 is a deficient number, since it is larger than the sum of its proper divisors (2655948105).

2768012775 is a wasteful number, since it uses less digits than its factorization.

2768012775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2768012775 is about 52611.9071598816. The cubic root of 2768012775 is about 1404.0719503756.

The spelling of 2768012775 in words is "two billion, seven hundred sixty-eight million, twelve thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 401 495 825 1203 2005 2475 2789 3609 4411 6015 8367 10025 13233 13945 18045 22055 25101 30075 30679 39699 41835 66165 69725 90225 92037 110275 125505 153395 198495 209175 276111 330825 460185 627525 766975 992475 1118389 1380555 2300925 3355167 5591945 6902775 10065501 12302279 16775835 27959725 36906837 50327505 61511395 83879175 110720511 184534185 251637525 307556975 553602555 922670925 2768012775