Search a number
-
+
10011550302016 = 261710199791381
BaseRepresentation
bin1001000110101111111011…
…1001100011111101000000
31022110002120011011101111221
42101223332321203331000
52303012123334131031
633143124232044424
72052211356320224
oct221537671437500
938402504141457
1010011550302016
11320a96916596a
12115837bb33714
1357811509a963
142687c112a784
15125653e84a11
hex91afee63f40

10011550302016 has 112 divisors (see below), whose sum is σ = 21265108256592. Its totient is φ = 4659941376000.

The previous prime is 10011550302001. The next prime is 10011550302029. The reversal of 10011550302016 is 61020305511001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5300566871616 + 4710983430400 = 2302296^2 + 2170480^2 .

It is a super-2 number, since 2×100115503020162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109512646 + ... + 109604026.

Almost surely, 210011550302016 is an apocalyptic number.

10011550302016 is a gapful number since it is divisible by the number (16) 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 10011550302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632554128296).

10011550302016 is an abundant number, since it is smaller than the sum of its proper divisors (11253557954576).

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

10011550302016 is a wasteful number, since it uses less digits than its factorization.

10011550302016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92508 (or 92498 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10011550302016 its reverse (61020305511001), we get a palindrome (71031855813017).

The spelling of 10011550302016 in words is "ten trillion, eleven billion, five hundred fifty million, three hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 997 1088 1616 1717 1994 3232 3434 3988 6464 6868 7976 13736 15952 16949 27472 31904 33898 54944 63808 67796 91381 100697 109888 135592 182762 201394 271184 365524 402788 542368 731048 805576 1084736 1462096 1553477 1611152 1711849 2924192 3106954 3222304 3423698 5848384 6213908 6444608 6847396 9229481 12427816 13694792 18458962 24855632 27389584 36917924 49711264 54779168 73835848 91106857 99422528 109558336 147671696 156901177 182213714 295343392 313802354 364427428 590686784 627604708 728854856 1255209416 1457709712 1548816569 2510418832 2915419424 3097633138 5020837664 5830838848 6195266276 9201792557 10041675328 12390532552 18403585114 24781065104 36807170228 49562130208 73614340456 99124260416 147228680912 156430473469 294457361824 312860946938 588914723648 625721893876 1251443787752 2502887575504 5005775151008 10011550302016