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61221027552 = 25310711295279
BaseRepresentation
bin111001000001000011…
…101011111011100000
312212000121011102122220
4321001003223323200
52000340040340202
644042523031040
74265054101536
oct710103537340
9185017142586
1061221027552
1123a66746143
12ba4696b480
135a087046b9
142d6aad8156
1518d4a43abc
hexe410ebee0

61221027552 has 96 divisors (see below), whose sum is σ = 162381542400. Its totient is φ = 20194556928.

The previous prime is 61221027523. The next prime is 61221027559. The reversal of 61221027552 is 25572012216.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×612210275522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61221027559) by changing a digit.

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, 11594449 + ... + 11599727.

It is an arithmetic number, because the mean of its divisors is an integer number (1691474400).

Almost surely, 261221027552 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 61221027552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81190771200).

61221027552 is an abundant number, since it is smaller than the sum of its proper divisors (101160514848).

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

61221027552 is a wasteful number, since it uses less digits than its factorization.

61221027552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 61221027552 its reverse (25572012216), we get a palindrome (86793039768).

The spelling of 61221027552 in words is "sixty-one billion, two hundred twenty-one million, twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1129 1284 1712 2258 2568 3387 3424 4516 5136 5279 6774 9032 10272 10558 13548 15837 18064 21116 27096 31674 36128 42232 54192 63348 84464 108384 120803 126696 168928 241606 253392 362409 483212 506784 564853 724818 966424 1129706 1449636 1694559 1932848 2259412 2899272 3389118 3865696 4518824 5798544 5959991 6778236 9037648 11597088 11919982 13556472 17879973 18075296 23839964 27112944 35759946 47679928 54225888 71519892 95359856 143039784 190719712 286079568 572159136 637719037 1275438074 1913157111 2550876148 3826314222 5101752296 7652628444 10203504592 15305256888 20407009184 30610513776 61221027552