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5711238144 = 210324671327
BaseRepresentation
bin1010101000110101…
…01001010000000000
3112202000200221212200
411110122221100000
543144034110034
62342415353200
7261346503033
oct52432512000
915660627780
105711238144
112470932827
121134822800
13700304271
143c272301a
152365e8a99
hex1546a9400

5711238144 has 132 divisors (see below), whose sum is σ = 16538842944. Its totient is φ = 1898237952.

The previous prime is 5711238121. The next prime is 5711238151. The reversal of 5711238144 is 4418321175.

5711238144 is a `hidden beast` number, since 571 + 1 + 2 + 3 + 81 + 4 + 4 = 666.

It is a super-2 number, since 2×57112381442 = 65236482274961129472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5711238099 and 5711238108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4303209 + ... + 4304535.

Almost surely, 25711238144 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 5711238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269421472).

5711238144 is an abundant number, since it is smaller than the sum of its proper divisors (10827604800).

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

5711238144 is a wasteful number, since it uses less digits than its factorization.

5711238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 5711238144 is about 75572.7341307697. The cubic root of 5711238144 is about 1787.4891863919.

The spelling of 5711238144 in words is "five billion, seven hundred eleven million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 467 512 576 768 934 1024 1152 1327 1401 1536 1868 2304 2654 2802 3072 3736 3981 4203 4608 5308 5604 7472 7962 8406 9216 10616 11208 11943 14944 15924 16812 21232 22416 23886 29888 31848 33624 42464 44832 47772 59776 63696 67248 84928 89664 95544 119552 127392 134496 169856 179328 191088 239104 254784 268992 339712 358656 382176 478208 509568 537984 619709 679424 717312 764352 1019136 1075968 1239418 1358848 1434624 1528704 1859127 2038272 2151936 2478836 3057408 3718254 4076544 4303872 4957672 5577381 6114816 7436508 9915344 11154762 12229632 14873016 19830688 22309524 29746032 39661376 44619048 59492064 79322752 89238096 118984128 158645504 178476192 237968256 317291008 356952384 475936512 634582016 713904768 951873024 1427809536 1903746048 2855619072 5711238144