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5707436364 = 2233747915761
BaseRepresentation
bin1010101000011000…
…01001000101001100
3112201202112210211000
411110030021011030
543142100430424
62342202100300
7261302260110
oct52414110514
915652483730
105707436364
112469776463
1211334aa690
136cc5a29a6
143c2013740
152360e73c9
hex15430914c

5707436364 has 96 divisors (see below), whose sum is σ = 16947302400. Its totient is φ = 1627188480.

The previous prime is 5707436359. The next prime is 5707436417. The reversal of 5707436364 is 4636347075.

5707436364 is a `hidden beast` number, since 5 + 7 + 0 + 7 + 4 + 3 + 636 + 4 = 666.

It is a super-3 number, since 3×57074363643 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354244 + ... + 370004.

It is an arithmetic number, because the mean of its divisors is an integer number (176534400).

Almost surely, 25707436364 is an apocalyptic number.

5707436364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5707436364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473651200).

5707436364 is an abundant number, since it is smaller than the sum of its proper divisors (11239866036).

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

5707436364 is a wasteful number, since it uses less digits than its factorization.

5707436364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16252 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 5707436364 is about 75547.5768241444. The cubic root of 5707436364 is about 1787.0924744530.

The spelling of 5707436364 in words is "five billion, seven hundred seven million, four hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 479 756 958 1437 1916 2874 3353 4311 5748 6706 8622 10059 12933 13412 15761 17244 20118 25866 30177 31522 40236 47283 51732 60354 63044 90531 94566 110327 120708 141849 181062 189132 220654 283698 330981 362124 425547 441308 567396 661962 851094 992943 1323924 1702188 1985886 2978829 3971772 5957658 7549519 11915316 15099038 22648557 30198076 45297114 52846633 67945671 90594228 105693266 135891342 158539899 203837013 211386532 271782684 317079798 407674026 475619697 634159596 815348052 951239394 1426859091 1902478788 2853718182 5707436364