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5711430564 = 22327237113879
BaseRepresentation
bin1010101000110110…
…11000001110100100
3112202001001201211100
411110123120032210
543144111234224
62342423440100
7261351234030
oct52433301644
915661051740
105711430564
112470a54354
1211348b6030
13700370a18
143c27731c0
15236635ac9
hex1546d83a4

5711430564 has 144 divisors (see below), whose sum is σ = 17460817920. Its totient is φ = 1538792640.

The previous prime is 5711430563. The next prime is 5711430583. The reversal of 5711430564 is 4650341175.

5711430564 is a `hidden beast` number, since 57 + 1 + 1 + 43 + 0 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5711430563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404577 + ... + 418455.

It is an arithmetic number, because the mean of its divisors is an integer number (121255680).

Almost surely, 25711430564 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 5711430564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730408960).

5711430564 is an abundant number, since it is smaller than the sum of its proper divisors (11749387356).

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

5711430564 is a wasteful number, since it uses less digits than its factorization.

5711430564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5711430564 is about 75574.0071982424. The cubic root of 5711430564 is about 1787.5092605450.

It can be divided in two parts, 57114 and 30564, that added together give a palindrome (87678).

The spelling of 5711430564 in words is "five billion, seven hundred eleven million, four hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 71 84 92 126 138 142 161 207 213 252 276 284 322 414 426 483 497 639 644 828 852 966 994 1278 1449 1491 1633 1932 1988 2556 2898 2982 3266 4473 4899 5796 5964 6532 8946 9798 11431 13879 14697 17892 19596 22862 27758 29394 34293 41637 45724 55516 58788 68586 83274 97153 102879 124911 137172 166548 194306 205758 249822 291459 319217 388612 411516 499644 582918 638434 874377 957651 985409 1165836 1276868 1748754 1915302 1970818 2234519 2872953 2956227 3497508 3830604 3941636 4469038 5745906 5912454 6703557 6897863 8868681 8938076 11491812 11824908 13407114 13795726 17737362 20110671 20693589 22664407 26814228 27591452 35474724 40221342 41387178 45328814 62080767 67993221 80442684 82774356 90657628 124161534 135986442 158650849 203979663 248323068 271972884 317301698 407959326 475952547 634603396 815918652 951905094 1427857641 1903810188 2855715282 5711430564