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54691244219645 = 51141471237417161
BaseRepresentation
bin11000110111101110011000…
…01011110001110011111101
321011122102122211210122011122
430123313030023301303331
524132030132010012040
6312152451042000325
714343212005355315
oct1433671413616375
9234572584718148
1054691244219645
1116476476622a40
1261736430460a5
1324694929a5a07
14d710db04a445
1564c9a11871b5
hex31bdcc2f1cfd

54691244219645 has 64 divisors (see below), whose sum is σ = 74963250496512. Its totient is φ = 37948878336000.

The previous prime is 54691244219641. The next prime is 54691244219669.

54691244219645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54691244219645 - 22 = 54691244219641 is a prime.

It is a super-2 number, since 2×546912442196452 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54691244219641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130894865 + ... + 131312025.

It is an arithmetic number, because the mean of its divisors is an integer number (1171300789008).

Almost surely, 254691244219645 is an apocalyptic number.

54691244219645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54691244219645 is a deficient number, since it is larger than the sum of its proper divisors (20272006276867).

54691244219645 is a wasteful number, since it uses less digits than its factorization.

54691244219645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418502.

The product of its digits is 74649600, while the sum is 62.

The spelling of 54691244219645 in words is "fifty-four trillion, six hundred ninety-one billion, two hundred forty-four million, two hundred nineteen thousand, six hundred forty-five".

Divisors: 1 5 11 41 47 55 205 235 451 517 1237 1927 2255 2585 6185 9635 13607 21197 50717 58139 68035 105985 253585 290695 417161 557887 639529 2085805 2383699 2789435 3197645 4588771 11918495 17103601 19606567 22943855 26220689 85518005 98032835 131103445 188139611 215672237 516028157 803869247 940698055 1078361185 2580140785 4019346235 5676309727 8842561717 21157154437 24253323379 28381548635 44212808585 105785772185 121266616895 232728698807 266786557169 994386258539 1163643494035 1333932785845 4971931292695 10938248843929 54691244219645