Search a number
-
+
10552211028 = 22327324116661
BaseRepresentation
bin10011101001111010…
…11111011001010100
31000020101211212020200
421310331133121110
5133102331223103
64503030300500
7522331212432
oct116475373124
930211755220
1010552211028
1145254a2367
122065ab7730
13cc2223168
14721629d52
1541b5db0a3
hex274f5f654

10552211028 has 72 divisors (see below), whose sum is σ = 27152861736. Its totient is φ = 3454617600.

The previous prime is 10552211027. The next prime is 10552211039. The reversal of 10552211028 is 82011225501.

It is a happy number.

10552211028 is a `hidden beast` number, since 1 + 0 + 5 + 522 + 110 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2917296144 + 7634914884 = 54012^2 + 87378^2 .

It is a super-2 number, since 2×105522110282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10552210992 and 10552211010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552211023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625018 + ... + 641678.

Almost surely, 210552211028 is an apocalyptic number.

10552211028 is a gapful number since it is divisible by the number (18) 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 10552211028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576430868).

10552211028 is an abundant number, since it is smaller than the sum of its proper divisors (16600650708).

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

10552211028 is a wasteful number, since it uses less digits than its factorization.

10552211028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16980 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10552211028 its reverse (82011225501), we get a palindrome (92563436529).

The spelling of 10552211028 in words is "ten billion, five hundred fifty-two million, two hundred eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 241 292 438 482 657 723 876 964 1314 1446 2169 2628 2892 4338 8676 16661 17593 33322 35186 49983 52779 66644 70372 99966 105558 149949 158337 199932 211116 299898 316674 599796 633348 1216253 2432506 3648759 4015301 4865012 7297518 8030602 10946277 12045903 14595036 16061204 21892554 24091806 36137709 43785108 48183612 72275418 144550836 293116973 586233946 879350919 1172467892 1758701838 2638052757 3517403676 5276105514 10552211028