Search a number
-
+
2649666816 = 2834127781
BaseRepresentation
bin1001110111101110…
…1011010100000000
320211122211000120000
42131323223110000
520411303314231
61114531320000
7122442540066
oct23573532400
96748730500
102649666816
11113a738995
1261b450000
13332c427b4
141b1c90036
151079416e6
hex9deeb500

2649666816 has 90 divisors (see below), whose sum is σ = 7900888842. Its totient is φ = 883215360.

The previous prime is 2649666797. The next prime is 2649666823. The reversal of 2649666816 is 6186669462.

2649666816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1743897600 + 905769216 = 41760^2 + 30096^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43155 + ... + 84626.

Almost surely, 22649666816 is an apocalyptic number.

It is an amenable number.

2649666816 is an abundant number, since it is smaller than the sum of its proper divisors (5251222026).

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

2649666816 is an equidigital number, since it uses as much as digits as its factorization.

2649666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127809 (or 127786 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2649666816 is about 51474.9144341202. The cubic root of 2649666816 is about 1383.7695050900.

The spelling of 2649666816 in words is "two billion, six hundred forty-nine million, six hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 127781 255562 383343 511124 766686 1022248 1150029 1533372 2044496 2300058 3066744 3450087 4088992 4600116 6133488 6900174 8177984 9200232 10350261 12266976 13800348 16355968 18400464 20700522 24533952 27600696 32711936 36800928 41401044 49067904 55201392 73601856 82802088 98135808 110402784 147203712 165604176 220805568 294407424 331208352 441611136 662416704 883222272 1324833408 2649666816