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11620225032 = 2331323777431
BaseRepresentation
bin10101101001001111…
…01001000000001000
31002222211111121000220
422310213221000020
5142244234200112
65201021430040
7560650166043
oct126447510010
932884447026
1011620225032
114a23350069
12230370b320
131132584c00
147c33ddc5a
1548025498c
hex2b49e9008

11620225032 has 96 divisors (see below), whose sum is σ = 32307727680. Its totient is φ = 3478775040.

The previous prime is 11620225031. The next prime is 11620225081. The reversal of 11620225032 is 23052202611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11620224993 and 11620225011.

It is not an unprimeable number, because it can be changed into a prime (11620225031) by changing a digit.

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, 111357 + ... + 188787.

It is an arithmetic number, because the mean of its divisors is an integer number (336538830).

Almost surely, 211620225032 is an apocalyptic number.

11620225032 is a gapful number since it is divisible by the number (12) 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 11620225032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153863840).

11620225032 is an abundant number, since it is smaller than the sum of its proper divisors (20687502648).

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

11620225032 is a wasteful number, since it uses less digits than its factorization.

11620225032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77503 (or 77486 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11620225032 its reverse (23052202611), we get a palindrome (34672427643).

The spelling of 11620225032 in words is "eleven billion, six hundred twenty million, two hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 169 222 296 312 338 444 481 507 676 888 962 1014 1352 1443 1924 2028 2886 3848 4056 5772 6253 11544 12506 18759 25012 37518 50024 75036 77431 150072 154862 232293 309724 464586 619448 929172 1006603 1858344 2013206 2864947 3019809 4026412 5729894 6039618 8052824 8594841 11459788 12079236 13085839 17189682 22919576 24158472 26171678 34379364 37244311 39257517 52343356 68758728 74488622 78515034 104686712 111732933 148977244 157030068 223465866 297954488 314060136 446931732 484176043 893863464 968352086 1452528129 1936704172 2905056258 3873408344 5810112516 11620225032