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1097072680455 = 325314122983761
BaseRepresentation
bin11111111011011101010…
…00001001111000000111
310212212201212210112020100
433331232220021320013
5120433301101233310
62155553242535143
7142155324631143
oct17755650117007
93785655715210
101097072680455
113932a1a22544
121587535074b3
137c5b849062b
143b1547c0223
151d80d9b6ec0
hexff6ea09e07

1097072680455 has 96 divisors (see below), whose sum is σ = 2019615736320. Its totient is φ = 550001664000.

The previous prime is 1097072680423. The next prime is 1097072680469. The reversal of 1097072680455 is 5540862707901.

1097072680455 is a `hidden beast` number, since 1 + 0 + 97 + 0 + 7 + 26 + 80 + 455 = 666.

It is not a de Polignac number, because 1097072680455 - 25 = 1097072680423 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 13055775 + ... + 13139535.

It is an arithmetic number, because the mean of its divisors is an integer number (21037663920).

Almost surely, 21097072680455 is an apocalyptic number.

1097072680455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1097072680455 is a deficient number, since it is larger than the sum of its proper divisors (922543055865).

1097072680455 is a wasteful number, since it uses less digits than its factorization.

1097072680455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84073 (or 84070 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1097072680455 in words is "one trillion, ninety-seven billion, seventy-two million, six hundred eighty thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 31 41 45 93 123 155 205 229 279 369 465 615 687 1145 1271 1395 1845 2061 3435 3813 6355 7099 9389 10305 11439 19065 21297 28167 35495 46945 57195 63891 83761 84501 106485 140835 251283 291059 319455 418805 422505 753849 873177 1256415 1455295 2596591 2619531 3434201 3769245 4365885 7789773 10302603 12982955 13097655 17171005 19181269 23369319 30907809 38948865 51513015 57543807 95906345 106460231 116846595 154539045 172631421 287719035 319380693 532301155 594619339 786432029 863157105 958142079 1596903465 1783858017 2359296087 2973096695 3932160145 4790710395 5351574051 7077888261 8919290085 11796480435 24379392899 26757870255 35389441305 73138178697 121896964495 219414536091 365690893485 1097072680455