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47137457016 = 233213216272381
BaseRepresentation
bin101011111001100111…
…001000001101111000
311111200002102220212100
4223321213020031320
51233014142111031
633353223143400
73256052526246
oct537147101570
9144602386770
1047137457016
1118a99958151
1291762a4b60
1345a29b5200
1423d24a9796
15135d403de6
hexaf99c8378

47137457016 has 144 divisors (see below), whose sum is σ = 138382718760. Its totient is φ = 14488830720.

The previous prime is 47137456963. The next prime is 47137457021. The reversal of 47137457016 is 61075473174.

47137457016 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 74 + 570 + 1 + 6 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 19796146 + ... + 19798526.

Almost surely, 247137457016 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 47137457016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69191359380).

47137457016 is an abundant number, since it is smaller than the sum of its proper divisors (91245261744).

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

47137457016 is a wasteful number, since it uses less digits than its factorization.

47137457016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 47137457016 in words is "forty-seven billion, one hundred thirty-seven million, four hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 1627 2028 2381 3042 3254 4056 4762 4881 6084 6508 7143 9524 9762 12168 13016 14286 14643 19048 19524 21151 21429 28572 29286 30953 39048 42302 42858 57144 58572 61906 63453 84604 85716 92859 117144 123812 126906 169208 171432 185718 190359 247624 253812 274963 278577 371436 380718 402389 507624 549926 557154 742872 761436 804778 824889 1099852 1114308 1207167 1522872 1609556 1649778 2199704 2228616 2414334 2474667 3219112 3299556 3621501 3873887 4828668 4949334 6599112 7243002 7747774 9657336 9898668 11621661 14486004 15495548 19797336 23243322 28972008 30991096 34864983 46486644 50360531 69729966 92973288 100721062 139459932 151081593 201442124 278919864 302163186 402884248 453244779 604326372 654686903 906489558 1208652744 1309373806 1812979116 1964060709 2618747612 3625958232 3928121418 5237495224 5892182127 7856242836 11784364254 15712485672 23568728508 47137457016