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61506010060 = 225112419071279
BaseRepresentation
bin111001010010000010…
…110011101111001100
312212202110102001011121
4321102002303233030
52001431014310220
644131103130324
74305114313405
oct712202635714
9185673361147
1061506010060
11240a25a2780
12bb062a39a4
135a52774bc1
142d968bc9ac
1518eea87eaa
hexe520b3bcc

61506010060 has 96 divisors (see below), whose sum is σ = 141756088320. Its totient is φ = 22231065600.

The previous prime is 61506010057. The next prime is 61506010103. The reversal of 61506010060 is 6001060516.

61506010060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48088501 + ... + 48089779.

It is an arithmetic number, because the mean of its divisors is an integer number (1476625920).

Almost surely, 261506010060 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 61506010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70878044160).

61506010060 is an abundant number, since it is smaller than the sum of its proper divisors (80250078260).

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

61506010060 is a wasteful number, since it uses less digits than its factorization.

61506010060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 61506010060 its reverse (6001060516), we get a palindrome (67507070576).

The spelling of 61506010060 in words is "sixty-one billion, five hundred six million, ten thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 907 964 1205 1279 1814 2410 2558 2651 3628 4535 4820 5116 5302 6395 9070 9977 10604 12790 13255 14069 18140 19954 25580 26510 28138 39908 49885 53020 56276 70345 99770 140690 199540 218587 281380 308239 437174 616478 874348 1092935 1160053 1232956 1541195 2185870 2320106 2404457 3082390 3390629 4371740 4640212 4808914 5800265 6164780 6781258 9617828 11600530 12022285 12760583 13562516 16953145 23201060 24044570 25521166 33906290 48089140 51042332 63802915 67812580 127605830 255211660 279572773 559145546 1118291092 1397863865 2795727730 3075300503 5591455460 6150601006 12301202012 15376502515 30753005030 61506010060