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61474422447416 = 23117366071448387
BaseRepresentation
bin11011111101001001000010…
…00111001101110100111000
322001122220020012100100200102
431332210201013031310320
531024144104121304131
6334424543152254532
715643244332105016
oct1576444107156470
9261586205310612
1061474422447416
1118651179922690
126a8a1a3841448
13283c022bc20a4
1411275410378b6
157191566e31cb
hex37e9211cdd38

61474422447416 has 64 divisors (see below), whose sum is σ = 127485026081280. Its totient is φ = 27555949198080.

The previous prime is 61474422447337. The next prime is 61474422447439.

61474422447416 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41719175 + ... + 43167561.

It is an arithmetic number, because the mean of its divisors is an integer number (1991953532520).

Almost surely, 261474422447416 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 61474422447416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63742513040640).

61474422447416 is an abundant number, since it is smaller than the sum of its proper divisors (66010603633864).

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

61474422447416 is a wasteful number, since it uses less digits than its factorization.

61474422447416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455084 (or 1455080 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 61474422447416 in words is "sixty-one trillion, four hundred seventy-four billion, four hundred twenty-two million, four hundred forty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 3212 6424 6607 13214 26428 52856 72677 145354 290708 482311 581416 964622 1448387 1929244 2896774 3858488 5305421 5793548 10610842 11587096 15932257 21221684 31864514 42443368 63729028 105732251 127458056 211464502 422929004 845858008 1163054761 2326109522 4652219044 9304438088 9569492909 19138985818 38277971636 76555943272 105264421999 210528843998 421057687996 698572982357 842115375992 1397145964714 2794291929428 5588583858856 7684302805927 15368605611854 30737211223708 61474422447416