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47101049952 = 25311128934603
BaseRepresentation
bin101011110111011100…
…001111110001100000
311111120112221020202120
4223313130033301200
51232430332044302
633345442544240
73255131214225
oct536734176140
9144515836676
1047101049952
1118a80350a70
129166068080
1345982a8b78
1423cb70d94c
15135a1119bc
hexaf770fc60

47101049952 has 96 divisors (see below), whose sum is σ = 134988819840. Its totient is φ = 14261560320.

The previous prime is 47101049923. The next prime is 47101049969. The reversal of 47101049952 is 25994010174.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1343883 + ... + 1378485.

It is an arithmetic number, because the mean of its divisors is an integer number (1406133540).

Almost surely, 247101049952 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 47101049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67494409920).

47101049952 is an abundant number, since it is smaller than the sum of its proper divisors (87887769888).

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

47101049952 is a wasteful number, since it uses less digits than its factorization.

47101049952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35916 (or 35908 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 47101049952 in words is "forty-seven billion, one hundred one million, forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1289 2578 3867 5156 7734 10312 14179 15468 20624 28358 30936 34603 41248 42537 56716 61872 69206 85074 103809 113432 123744 138412 170148 207618 226864 276824 340296 380633 415236 453728 553648 680592 761266 830472 1107296 1141899 1361184 1522532 1660944 2283798 3045064 3321888 4567596 6090128 9135192 12180256 18270384 36540768 44603267 89206534 133809801 178413068 267619602 356826136 490635937 535239204 713652272 981271874 1070478408 1427304544 1471907811 1962543748 2140956816 2943815622 3925087496 4281913632 5887631244 7850174992 11775262488 15700349984 23550524976 47101049952