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61540199316 = 223214281119701
BaseRepresentation
bin111001010100000101…
…001110101110010100
312212211211202001000100
4321110011032232110
52002013242334231
644134324014100
74306011030501
oct712405165624
9185754661010
1061540199316
112410a924662
12bb15831330
135a5988592b
142d9b25c4a8
151902a8d1e6
hexe5414eb94

61540199316 has 36 divisors (see below), whose sum is σ = 155572140724. Its totient is φ = 20511792000.

The previous prime is 61540199309. The next prime is 61540199353. The reversal of 61540199316 is 61399104516.

61540199316 is a `hidden beast` number, since 6 + 1 + 540 + 1 + 9 + 93 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26518819716 + 35021379600 = 162846^2 + 187140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×615401993162 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 454266 + ... + 573966.

Almost surely, 261540199316 is an apocalyptic number.

It is an amenable number.

61540199316 is an abundant number, since it is smaller than the sum of its proper divisors (94031941408).

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

61540199316 is a wasteful number, since it uses less digits than its factorization.

61540199316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133992 (or 133987 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 61540199316 in words is "sixty-one billion, five hundred forty million, one hundred ninety-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 14281 28562 42843 57124 85686 119701 128529 171372 239402 257058 359103 478804 514116 718206 1077309 1436412 2154618 4309236 1709449981 3418899962 5128349943 6837799924 10256699886 15385049829 20513399772 30770099658 61540199316