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61644616344 = 23323723139871
BaseRepresentation
bin111001011010010011…
…100011001010011000
312220010010012222020200
4321122103203022120
52002222010210334
644152534022200
74311416410353
oct713223431230
9186103188220
1061644616344
1124163862723
12bb447a7960
135a753b4a5c
142dab07d29a
15190bd16799
hexe5a4e3298

61644616344 has 48 divisors (see below), whose sum is σ = 171466451520. Its totient is φ = 19992847680.

The previous prime is 61644616333. The next prime is 61644616349. The reversal of 61644616344 is 44361644616.

It is a happy number.

61644616344 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 4 + 6 + 1 + 634 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61644616344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61644616349) 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 11 ways as a sum of consecutive naturals, for example, 11567272 + ... + 11572599.

It is an arithmetic number, because the mean of its divisors is an integer number (3572217740).

Almost surely, 261644616344 is an apocalyptic number.

It is an amenable number.

61644616344 is an abundant number, since it is smaller than the sum of its proper divisors (109821835176).

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

61644616344 is a wasteful number, since it uses less digits than its factorization.

61644616344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23139920 (or 23139913 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 61644616344 in words is "sixty-one billion, six hundred forty-four million, six hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 23139871 46279742 69419613 92559484 138839226 185118968 208258839 277678452 416517678 555356904 833035356 856175227 1666070712 1712350454 2568525681 3424700908 5137051362 6849401816 7705577043 10274102724 15411154086 20548205448 30822308172 61644616344