Search a number
-
+
5314774784 = 281129151431
BaseRepresentation
bin1001111001100100…
…10000011100000000
3111201101200112101112
410330302100130000
541341040243114
62235214022452
7245463561134
oct47462203400
914641615345
105314774784
112288062a60
121043aa7a28
13669130667
14385bdd3c4
152118d313e
hex13cc90700

5314774784 has 144 divisors (see below), whose sum is σ = 12079549440. Its totient is φ = 2311680000.

The previous prime is 5314774781. The next prime is 5314774823. The reversal of 5314774784 is 4874774135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314774781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12331049 + ... + 12331479.

It is an arithmetic number, because the mean of its divisors is an integer number (83885760).

Almost surely, 25314774784 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 5314774784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720).

5314774784 is an abundant number, since it is smaller than the sum of its proper divisors (6764774656).

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

5314774784 is a wasteful number, since it uses less digits than its factorization.

5314774784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 50.

The square root of 5314774784 is about 72902.5019049415. The cubic root of 5314774784 is about 1745.1320260367.

The spelling of 5314774784 in words is "five billion, three hundred fourteen million, seven hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 151 176 232 256 302 319 352 431 464 604 638 704 862 928 1208 1276 1408 1661 1724 1856 2416 2552 2816 3322 3448 3712 4379 4741 4832 5104 6644 6896 7424 8758 9482 9664 10208 12499 13288 13792 17516 18964 19328 20416 24998 26576 27584 35032 37928 38656 40832 48169 49996 53152 55168 65081 70064 75856 81664 96338 99992 106304 110336 130162 137489 140128 151712 192676 199984 212608 260324 274978 280256 303424 385352 399968 425216 520648 549956 560512 606848 715891 770704 799936 1041296 1099912 1121024 1213696 1431782 1541408 1599872 1887349 2082592 2199824 2863564 3082816 3199744 3774698 4165184 4399648 5727128 6165632 7549396 8330368 8799296 11454256 12331264 15098792 16660736 17598592 20760839 22908512 30197584 35197184 41521678 45817024 60395168 83043356 91634048 120790336 166086712 183268096 241580672 332173424 483161344 664346848 1328693696 2657387392 5314774784