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5031433456 = 247379712517
BaseRepresentation
bin1001010111110010…
…11001010011110000
3110222122112022011021
410223321121103300
540301021332311
62151133025224
7235453323130
oct45371312360
913878468137
105031433456
112152127475
12b85025214
1362251617a
1435a324ac0
151e6ab5171
hex12be594f0

5031433456 has 80 divisors (see below), whose sum is σ = 11561023936. Its totient is φ = 2076254208.

The previous prime is 5031433409. The next prime is 5031433489. The reversal of 5031433456 is 6543341305.

It is a super-2 number, since 2×50314334562 = 50630645244312207872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395710 + ... + 408226.

Almost surely, 25031433456 is an apocalyptic number.

5031433456 is a gapful number since it is divisible by the number (56) 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 5031433456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780511968).

5031433456 is an abundant number, since it is smaller than the sum of its proper divisors (6529590480).

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

5031433456 is a wasteful number, since it uses less digits than its factorization.

5031433456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 5031433456 is about 70932.5979786445. The cubic root of 5031433456 is about 1713.5518272058.

The spelling of 5031433456 in words is "five billion, thirty-one million, four hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 97 112 148 194 259 296 388 518 592 679 776 1036 1358 1552 2072 2716 3589 4144 5432 7178 10864 12517 14356 25034 25123 28712 50068 50246 57424 87619 100136 100492 175238 200272 200984 350476 401968 463129 700952 926258 1214149 1401904 1852516 2428298 3241903 3705032 4856596 6483806 7410064 8499043 9713192 12967612 16998086 19426384 25935224 33996172 44923513 51870448 67992344 89847026 135984688 179694052 314464591 359388104 628929182 718776208 1257858364 2515716728 5031433456