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5035012312 = 2311219318831
BaseRepresentation
bin1001011000001110…
…00011000011011000
3110222220021010102111
410230013003003120
540302430343222
62151341442104
7235525620121
oct45407030330
913886233374
105035012312
112154151300
12b86270334
1362319a135
1435a9b7048
151e7070777
hex12c1c30d8

5035012312 has 96 divisors (see below), whose sum is σ = 11276697600. Its totient is φ = 2098008000.

The previous prime is 5035012309. The next prime is 5035012351. The reversal of 5035012312 is 2132105305.

It is a super-4 number, since 4×50350123124 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565737 + ... + 574567.

It is an arithmetic number, because the mean of its divisors is an integer number (117465600).

Almost surely, 25035012312 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 5035012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638348800).

5035012312 is an abundant number, since it is smaller than the sum of its proper divisors (6241685288).

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

5035012312 is a wasteful number, since it uses less digits than its factorization.

5035012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5035012312 is about 70957.8206542450. The cubic root of 5035012312 is about 1713.9580137554.

Adding to 5035012312 its reverse (2132105305), we get a palindrome (7167117617).

The spelling of 5035012312 in words is "five billion, thirty-five million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 121 124 152 209 242 248 341 418 484 589 682 836 968 1178 1364 1672 2299 2356 2728 3751 4598 4712 6479 7502 8831 9196 12958 15004 17662 18392 25916 30008 35324 51832 70648 71269 97141 142538 167789 194282 273761 285076 335578 388564 547522 570152 671156 777128 1068551 1095044 1342312 1845679 2137102 2190088 3011371 3691358 4274204 5201459 6022742 7382716 8548408 10402918 12045484 14765432 20302469 20805836 24090968 33125081 40604938 41611672 57216049 66250162 81209876 114432098 132500324 162419752 228864196 265000648 457728392 629376539 1258753078 2517506156 5035012312