Search a number
-
+
61052004560 = 2458322940151
BaseRepresentation
bin111000110110111110…
…111010100011010000
312211120211010011201002
4320312332322203100
52000013303121220
644014044201132
74260632322251
oct706676724320
9184524104632
1061052004560
112398a2a0718
12b9ba2391a8
1359ac6a4cb1
142d5249ab28
1518c4ca7c75
hexe36fba8d0

61052004560 has 80 divisors (see below), whose sum is σ = 144287015040. Its totient is φ = 24020620800.

The previous prime is 61052004527. The next prime is 61052004569. The reversal of 61052004560 is 6540025016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61052004569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1500485 + ... + 1540635.

It is an arithmetic number, because the mean of its divisors is an integer number (1803587688).

Almost surely, 261052004560 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 61052004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72143507520).

61052004560 is an abundant number, since it is smaller than the sum of its proper divisors (83235010480).

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

61052004560 is a wasteful number, since it uses less digits than its factorization.

61052004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40476 (or 40470 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 61052004560 its reverse (6540025016), we get a palindrome (67592029576).

The spelling of 61052004560 in words is "sixty-one billion, fifty-two million, four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 229 332 415 458 664 830 916 1145 1328 1660 1832 2290 3320 3664 4580 6640 9160 18320 19007 38014 40151 76028 80302 95035 152056 160604 190070 200755 304112 321208 380140 401510 642416 760280 803020 1520560 1606040 3212080 3332533 6665066 9194579 13330132 16662665 18389158 26660264 33325330 36778316 45972895 53320528 66650660 73556632 91945790 133301320 147113264 183891580 266602640 367783160 735566320 763150057 1526300114 3052600228 3815750285 6105200456 7631500570 12210400912 15263001140 30526002280 61052004560