Search a number
-
+
5664727776 = 2532314891723
BaseRepresentation
bin1010100011010010…
…01110001011100000
3112121210011222122110
411101221032023200
543100132242101
62334034435320
7260243251221
oct52151161340
915553158573
105664727776
112447655904
121121132b40
136c379b336
143ba497248
152324accd6
hex151a4e2e0

5664727776 has 96 divisors (see below), whose sum is σ = 15535860480. Its totient is φ = 1803884544.

The previous prime is 5664727759. The next prime is 5664727793. The reversal of 5664727776 is 6777274665.

It is an interprime number because it is at equal distance from previous prime (5664727759) and next prime (5664727793).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286851 + ... + 3288573.

It is an arithmetic number, because the mean of its divisors is an integer number (161831880).

Almost surely, 25664727776 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 5664727776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767930240).

5664727776 is an abundant number, since it is smaller than the sum of its proper divisors (9871132704).

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

5664727776 is a wasteful number, since it uses less digits than its factorization.

5664727776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3240 counting only the distinct ones).

The product of its digits is 20744640, while the sum is 57.

The square root of 5664727776 is about 75264.3858408477. The cubic root of 5664727776 is about 1782.6237215245.

The spelling of 5664727776 in words is "five billion, six hundred sixty-four million, seven hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1489 1723 2208 2978 3446 4467 5169 5956 6892 8934 10338 11912 13784 17868 20676 23824 27568 34247 35736 39629 41352 47648 55136 68494 71472 79258 82704 102741 118887 136988 142944 158516 165408 205482 237774 273976 317032 410964 475548 547952 634064 821928 951096 1095904 1268128 1643856 1902192 2565547 3287712 3804384 5131094 7696641 10262188 15393282 20524376 30786564 41048752 59007581 61573128 82097504 118015162 123146256 177022743 236030324 246292512 354045486 472060648 708090972 944121296 1416181944 1888242592 2832363888 5664727776