Search a number
-
+
5734777968 = 243410342961
BaseRepresentation
bin1010101011101000…
…11100010001110000
3112210122222220110000
411111310130101300
543221100343333
62345020110000
7262053544203
oct52564342160
915718886400
105734777968
112483150627
121140695300
1370515695a
143c58cd93a
152386e8713
hex155d1c470

5734777968 has 100 divisors (see below), whose sum is σ = 16759648048. Its totient is φ = 1892989440.

The previous prime is 5734777949. The next prime is 5734777987. The reversal of 5734777968 is 8697774375.

5734777968 is a `hidden beast` number, since 5 + 73 + 477 + 7 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5734777949) and next prime (5734777987).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112008 + ... + 154968.

Almost surely, 25734777968 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 5734777968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379824024).

5734777968 is an abundant number, since it is smaller than the sum of its proper divisors (11024870080).

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

5734777968 is a wasteful number, since it uses less digits than its factorization.

5734777968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43084 (or 43069 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The square root of 5734777968 is about 75728.3168174231. The cubic root of 5734777968 is about 1789.9416320449.

The spelling of 5734777968 in words is "five billion, seven hundred thirty-four million, seven hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 309 324 412 432 618 648 824 927 1236 1296 1648 1854 2472 2781 3708 4944 5562 7416 8343 11124 14832 16686 22248 33372 42961 44496 66744 85922 128883 133488 171844 257766 343688 386649 515532 687376 773298 1031064 1159947 1546596 2062128 2319894 3093192 3479841 4424983 4639788 6186384 6959682 8849966 9279576 13274949 13919364 17699932 18559152 26549898 27838728 35399864 39824847 53099796 55677456 70799728 79649694 106199592 119474541 159299388 212399184 238949082 318598776 358423623 477898164 637197552 716847246 955796328 1433694492 1911592656 2867388984 5734777968