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47678518056576 = 2731111287527949
BaseRepresentation
bin10101101011101000001010…
…01000011101011010000000
320020211000120220022120222110
422311310011020131122000
522222131101110302301
6245223113034335320
713020442060451631
oct1265640510353200
9206730526276873
1047678518056576
1114212389514a60
1254204bb28a540
13207b0ac945aa4
14bab91c9ab888
1557a3635c80d6
hex2b5d0521d680

47678518056576 has 64 divisors (see below), whose sum is σ = 138159342108000. Its totient is φ = 14448035773440.

The previous prime is 47678518056563. The next prime is 47678518056679. The reversal of 47678518056576 is 67565081587674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 47678518056498 and 47678518056507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5643759751 + ... + 5643768198.

Almost surely, 247678518056576 is an apocalyptic number.

It is an amenable number.

47678518056576 is an abundant number, since it is smaller than the sum of its proper divisors (90480824051424).

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

47678518056576 is a wasteful number, since it uses less digits than its factorization.

47678518056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11287527977 (or 11287527965 counting only the distinct ones).

The product of its (nonzero) digits is 2370816000, while the sum is 75.

The spelling of 47678518056576 in words is "forty-seven trillion, six hundred seventy-eight billion, five hundred eighteen million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 11287527949 22575055898 33862583847 45150111796 67725167694 90300223592 124162807439 135450335388 180600447184 248325614878 270900670776 361200894368 372488422317 496651229756 541801341552 722401788736 744976844634 993302459512 1083602683104 1444803577472 1489953689268 1986604919024 2167205366208 2979907378536 3973209838048 4334410732416 5959814757072 7946419676096 11919629514144 15892839352192 23839259028288 47678518056576