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19480709616096 = 253317192196301
BaseRepresentation
bin1000110110111101101001…
…10001101101000111100000
32112222100010010222202110010
410123132310301231013200
510023132443130203341
6105233151531004520
74050302100420021
oct433366461550740
975870103882403
1019480709616096
1162307a4798703
1222275aa299740
13ab403b7b6621
144b4c2b0b0c48
1523bb10958716
hex11b7b4c6d1e0

19480709616096 has 96 divisors (see below), whose sum is σ = 53529910511616. Its totient is φ = 6195591360000.

The previous prime is 19480709615981. The next prime is 19480709616119. The reversal of 19480709616096 is 69061690708491.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45886855 + ... + 46309446.

It is an arithmetic number, because the mean of its divisors is an integer number (557603234496).

Almost surely, 219480709616096 is an apocalyptic number.

19480709616096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19480709616096 is an abundant number, since it is smaller than the sum of its proper divisors (34049200895520).

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

19480709616096 is a wasteful number, since it uses less digits than its factorization.

19480709616096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92196416 (or 92196408 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 19480709616096 in words is "nineteen trillion, four hundred eighty billion, seven hundred nine million, six hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 71 93 96 124 142 186 213 248 284 372 426 496 568 744 852 992 1136 1488 1704 2201 2272 2976 3408 4402 6603 6816 8804 13206 17608 26412 35216 52824 70432 105648 211296 92196301 184392602 276588903 368785204 553177806 737570408 1106355612 1475140816 2212711224 2858085331 2950281632 4425422448 5716170662 6545937371 8574255993 8850844896 11432341324 13091874742 17148511986 19637812113 22864682648 26183749484 34297023972 39275624226 45729365296 52367498968 68594047944 78551248452 91458730592 104734997936 137188095888 157102496904 202924058501 209469995872 274376191776 314204993808 405848117002 608772175503 628409987616 811696234004 1217544351006 1623392468008 2435088702012 3246784936016 4870177404024 6493569872032 9740354808048 19480709616096