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10540672371054 = 2337163717034439
BaseRepresentation
bin1001100101100011000100…
…0010000100100101101110
31101022200022120200111021000
42121120301002010211232
52340144244111333204
634230152410221130
72135352454564140
oct231306102044556
941280276614230
1010540672371054
1133a4301838911
121222a29a247a6
135b5c9a743237
14286257d44c90
151342c15c4039
hex9963108496e

10540672371054 has 64 divisors (see below), whose sum is σ = 26786316211200. Its totient is φ = 3009780781344.

The previous prime is 10540672371049. The next prime is 10540672371091. The reversal of 10540672371054 is 45017327604501.

10540672371054 is a `hidden beast` number, since 1 + 0 + 5 + 406 + 7 + 237 + 1 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×105406723710542 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7898434 + ... + 9136005.

It is an arithmetic number, because the mean of its divisors is an integer number (418536190800).

Almost surely, 210540672371054 is an apocalyptic number.

10540672371054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10540672371054 is an abundant number, since it is smaller than the sum of its proper divisors (16245643840146).

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

10540672371054 is a wasteful number, since it uses less digits than its factorization.

10540672371054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17036094 (or 17036088 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

Adding to 10540672371054 its reverse (45017327604501), we get a palindrome (55557999975555).

The spelling of 10540672371054 in words is "ten trillion, five hundred forty billion, six hundred seventy-two million, three hundred seventy-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1637 3274 4911 9822 11459 14733 22918 29466 34377 44199 68754 88398 103131 206262 309393 618786 17034439 34068878 51103317 102206634 119241073 153309951 238482146 306619902 357723219 459929853 715446438 919859706 1073169657 2146339314 3219508971 6439017942 27885376643 55770753286 83656129929 167312259858 195197636501 250968389787 390395273002 501936779574 585592909503 752905169361 1171185819006 1505810338722 1756778728509 3513557457018 5270336185527 10540672371054