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1342166761984 = 2923407327983
BaseRepresentation
bin10011100001111111010…
…111111000001000000000
311202022100220112220101111
4103201333113320020000
5133442224142340414
62504325523413104
7165653100145456
oct23417727701000
94668326486344
101342166761984
11478234168614
12198154b24194
1399748041589
1448d658209d6
1524da5c608c4
hex1387f5f8200

1342166761984 has 80 divisors (see below), whose sum is σ = 2799095346432. Its totient is φ = 641725308928.

The previous prime is 1342166761951. The next prime is 1342166762011. The reversal of 1342166761984 is 4891676612431.

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, 47949657 + ... + 47977639.

Almost surely, 21342166761984 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 1342166761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399547673216).

1342166761984 is an abundant number, since it is smaller than the sum of its proper divisors (1456928584448).

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

1342166761984 is an equidigital number, since it uses as much as digits as its factorization.

1342166761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32097 (or 32081 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 58.

The spelling of 1342166761984 in words is "one trillion, three hundred forty-two billion, one hundred sixty-six million, seven hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 4073 5888 8146 11776 16292 27983 32584 55966 65168 93679 111932 130336 187358 223864 260672 374716 447728 521344 643609 749432 895456 1042688 1287218 1498864 1790912 2085376 2574436 2997728 3581824 5148872 5995456 7163648 10297744 11990912 14327296 20595488 23981824 41190976 47963648 82381952 113974759 164763904 227949518 329527808 455899036 911798072 1823596144 2621419457 3647192288 5242838914 7294384576 10485677828 14588769152 20971355656 29177538304 41942711312 58355076608 83885422624 167770845248 335541690496 671083380992 1342166761984