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10543501414413 = 32111011736095119
BaseRepresentation
bin1001100101101101100110…
…1010000001000000001101
31101022221121202000210011200
42121123121222001000031
52340221042330230123
634231341230340113
72135512536215022
oct231333152010015
941287552023150
1010543501414413
1133a5523752a80
12122349935a639
135b632b89bba6
14286445969549
151343d9b49143
hex996d9a8100d

10543501414413 has 48 divisors (see below), whose sum is σ = 16875485602560. Its totient is φ = 6290161776000.

The previous prime is 10543501414399. The next prime is 10543501414421. The reversal of 10543501414413 is 31441410534501.

10543501414413 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 501 + 4 + 144 + 1 + 3 = 666.

It is not a de Polignac number, because 10543501414413 - 212 = 10543501410317 is a prime.

It is a super-3 number, since 3×105435014144133 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10543501414013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1317733 + ... + 4777386.

It is an arithmetic number, because the mean of its divisors is an integer number (351572616720).

Almost surely, 210543501414413 is an apocalyptic number.

It is an amenable number.

10543501414413 is a deficient number, since it is larger than the sum of its proper divisors (6331984188147).

10543501414413 is a wasteful number, since it uses less digits than its factorization.

10543501414413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095410 (or 6095407 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10543501414413 its reverse (31441410534501), we get a palindrome (41984911948914).

The spelling of 10543501414413 in words is "ten trillion, five hundred forty-three billion, five hundred one million, four hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 101 173 303 519 909 1111 1557 1903 3333 5709 9999 17127 17473 52419 157257 192203 576609 1729827 6095119 18285357 54856071 67046309 201138927 603416781 615607019 1054455587 1846821057 3163366761 5540463171 6771677209 9490100283 11599011457 20315031627 34797034371 60945094881 104391103113 106500014287 319500042861 958500128583 1171500157157 3514500471471 10543501414413