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19152434266966 = 27111322003367397
BaseRepresentation
bin1000101101011010001100…
…00010101000001101010110
32111210221210002000011120001
410112231012002220031112
510002243141133020331
6104422301251001514
74014501114120220
oct426550602501526
974727702004501
1019152434266966
116114557928080
122193a5359929a
13a8c0b39c0500
144a2da89c5410
152332eac93561
hex116b460a8356

19152434266966 has 96 divisors (see below), whose sum is σ = 38804141760768. Its totient is φ = 6884530773120.

The previous prime is 19152434266957. The next prime is 19152434266993. The reversal of 19152434266966 is 66966243425191.

It is a junction number, because it is equal to n+sod(n) for n = 19152434266898 and 19152434266907.

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 47 ways as a sum of consecutive naturals, for example, 51946380 + ... + 52313776.

It is an arithmetic number, because the mean of its divisors is an integer number (404209810008).

Almost surely, 219152434266966 is an apocalyptic number.

19152434266966 is an abundant number, since it is smaller than the sum of its proper divisors (19651707493802).

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

19152434266966 is a wasteful number, since it uses less digits than its factorization.

19152434266966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369446 (or 369433 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 64.

The spelling of 19152434266966 in words is "nineteen trillion, one hundred fifty-two billion, four hundred thirty-four million, two hundred sixty-six thousand, nine hundred sixty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2003 2366 3718 4006 13013 14021 22033 26026 26039 28042 44066 52078 154231 182273 286429 308462 338507 364546 367397 572858 677014 734794 2005003 2369549 2571779 3723577 4010006 4041367 4739098 4776161 5143558 7447154 8082734 9552322 26065039 28289569 33433127 52130078 52537771 56579138 62090093 66866254 105075542 124180186 367764397 434630651 682991023 735528794 735896191 869261302 1365982046 1471792382 4780937161 5151273337 8094858101 9561874322 9566650483 10302546674 16189716202 19133300966 56664006707 66966553381 105233155313 113328013414 124366456279 133933106762 210466310626 248732912558 736632087191 870565193953 1368031019069 1473264174382 1741130387906 2736062038138 9576217133483 19152434266966