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2034697970097 = 3213193199745121
BaseRepresentation
bin11101100110111101011…
…100110010000110110001
321012111220121012100202200
4131212331130302012301
5231314030140020342
64154421034533413
7300000466245522
oct35467534620661
97174817170680
102034697970097
11714a01a61331
1228a408297269
13119b43029320
14706a0c18849
1537dd929c94c
hex1d9bd7321b1

2034697970097 has 48 divisors (see below), whose sum is σ = 3183148816848. Its totient is φ = 1244982804480.

The previous prime is 2034697970077. The next prime is 2034697970099. The reversal of 2034697970097 is 7900797964302.

It can be written as a sum of positive squares in 8 ways, for example, as 1327297543056 + 707400427041 = 1152084^2 + 841071^2 .

It is not a de Polignac number, because 2034697970097 - 235 = 2000338231729 is a prime.

It is a super-3 number, since 3×20346979700973 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2034697970099) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45071697 + ... + 45116817.

It is an arithmetic number, because the mean of its divisors is an integer number (66315600351).

Almost surely, 22034697970097 is an apocalyptic number.

It is an amenable number.

2034697970097 is a deficient number, since it is larger than the sum of its proper divisors (1148450846751).

2034697970097 is a wasteful number, since it uses less digits than its factorization.

2034697970097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47330 (or 47327 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 2034697970097 in words is "two trillion, thirty-four billion, six hundred ninety-seven million, nine hundred seventy thousand, ninety-seven".

Divisors: 1 3 9 13 39 117 193 579 1737 1997 2509 5991 7527 17973 22581 25961 45121 77883 135363 233649 385421 406089 586573 1156263 1759719 3468789 5010473 5279157 8708353 15031419 26125059 45094257 78375177 90106637 113208589 270319911 339625767 810959733 1018877301 1171386281 3514158843 10542476529 17390580941 52171742823 156515228469 226077552233 678232656699 2034697970097