Search a number
-
+
10740197146175 = 527613075635821
BaseRepresentation
bin1001110001001010010110…
…1000101011111000111111
31102000202022210202020202222
42130102211220223320333
52401431410432134200
634501551202435555
72155645045311650
oct234224550537077
942022283666688
1010740197146175
11347098a324582
121255632362bbb
135cba47473053
14291b84c7d527
1513959ce75d85
hex9c4a5a2be3f

10740197146175 has 96 divisors (see below), whose sum is σ = 15550537035264. Its totient is φ = 7206314688000.

The previous prime is 10740197146123. The next prime is 10740197146207. The reversal of 10740197146175 is 57164179104701.

It is a Cunningham number, because it is equal to 32772242-1.

It is a de Polignac number, because none of the positive numbers 2k-10740197146175 is a prime.

It is a super-2 number, since 2×107401971461752 (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 95 ways as a sum of consecutive naturals, for example, 1845074765 + ... + 1845080585.

It is an arithmetic number, because the mean of its divisors is an integer number (161984760784).

Almost surely, 210740197146175 is an apocalyptic number.

10740197146175 is a deficient number, since it is larger than the sum of its proper divisors (4810339889089).

10740197146175 is a wasteful number, since it uses less digits than its factorization.

10740197146175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 53.

The spelling of 10740197146175 in words is "ten trillion, seven hundred forty billion, one hundred ninety-seven million, one hundred forty-six thousand, one hundred seventy-five".

Divisors: 1 5 7 25 35 61 175 305 307 427 563 1525 1535 2135 2149 2815 3941 5821 7675 10675 10745 14075 18727 19705 29105 34343 40747 53725 93635 98525 131089 145525 171715 172841 203735 240401 355081 468175 655445 858575 864205 1018675 1202005 1209887 1775405 1787047 2485567 3277223 3277225 4321025 6010025 6049435 8877025 8935235 10543301 12427835 12509329 16386115 22940561 30247175 44676175 52716505 62139175 62546645 73803107 81930575 109009867 114702805 199910603 263582525 312733225 369015535 545049335 573514025 763069069 999553015 1006107461 1399374221 1845077675 2725246675 3815345345 4997765075 5030537305 6996871105 7042752227 19076726725 25152686525 34984355525 35213761135 61372555121 176068805675 306862775605 429607885847 1534313878025 2148039429235 10740197146175