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61442177112 = 23321451588121
BaseRepresentation
bin111001001110001111…
…010011100001011000
312212121000021222211100
4321032033103201120
52001313144131422
644120503031400
74303410613461
oct711617234130
9185530258740
1061442177112
112406a564078
12baa8a3b560
135a42485424
142d8c223d68
1518e91797ac
hexe4e3d3858

61442177112 has 48 divisors (see below), whose sum is σ = 166520863080. Its totient is φ = 20466576000.

The previous prime is 61442177099. The next prime is 61442177117. The reversal of 61442177112 is 21177124416.

61442177112 is a `hidden beast` number, since 614 + 4 + 21 + 7 + 7 + 1 + 12 = 666.

61442177112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614421771122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61442177117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189589 + ... + 398532.

Almost surely, 261442177112 is an apocalyptic number.

It is an amenable number.

61442177112 is an abundant number, since it is smaller than the sum of its proper divisors (105078685968).

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

61442177112 is a wasteful number, since it uses less digits than its factorization.

61442177112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589584 (or 589577 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The spelling of 61442177112 in words is "sixty-one billion, four hundred forty-two million, one hundred seventy-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1451 2902 4353 5804 8706 11608 13059 17412 26118 34824 52236 104472 588121 1176242 1764363 2352484 3528726 4704968 5293089 7057452 10586178 14114904 21172356 42344712 853363571 1706727142 2560090713 3413454284 5120181426 6826908568 7680272139 10240362852 15360544278 20480725704 30721088556 61442177112