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11315982706457 = 11132531791973257
BaseRepresentation
bin1010010010101011010100…
…1000010010011100011001
31111001210112021212022120112
42210222311020102130121
52440400113033101312
640022253553334105
72245360412651552
oct244526510223431
944053467768515
1011315982706457
11367309925a120
121329143867335
13641128562600
142b19a7227329
1514954c094d22
hexa4ab5212719

11315982706457 has 96 divisors (see below), whose sum is σ = 13769395390080. Its totient is φ = 9214853007360.

The previous prime is 11315982706423. The next prime is 11315982706471. The reversal of 11315982706457 is 75460728951311.

It is not a de Polignac number, because 11315982706457 - 214 = 11315982690073 is a prime.

It is a super-2 number, since 2×113159827064572 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11315982706396 and 11315982706405.

It is not an unprimeable number, because it can be changed into a prime (11315982703457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3474355973 + ... + 3474359229.

It is an arithmetic number, because the mean of its divisors is an integer number (143431201980).

It is a 1-persistent number, because it is pandigital, but 2⋅11315982706457 = 22631965412914 is not.

Almost surely, 211315982706457 is an apocalyptic number.

It is an amenable number.

11315982706457 is a deficient number, since it is larger than the sum of its proper divisors (2453412683623).

11315982706457 is a wasteful number, since it uses less digits than its factorization.

11315982706457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 59.

The spelling of 11315982706457 in words is "eleven trillion, three hundred fifteen billion, nine hundred eighty-two million, seven hundred six thousand, four hundred fifty-seven".

Divisors: 1 11 13 53 143 169 179 197 583 689 1859 1969 2167 2327 2561 3257 7579 8957 9487 10441 25597 28171 30251 33293 35263 35827 42341 98527 104357 114851 123331 135733 172621 332761 366223 387893 458419 465751 550433 583003 641629 1356641 1493063 1603303 1764529 1868939 1898831 2244073 5042609 5959447 6054763 6413033 7057919 7579039 8341177 17636333 19409819 20558329 24296207 24684803 29172949 30899159 34006337 65553917 83369429 91752947 98527507 108435301 114851591 267258277 315850691 320902439 339890749 374069707 401689067 442082381 1083802577 1192788311 1263367501 1493070683 3474357601 4418579737 4862906191 5221957871 5747070953 6087134323 16423777513 19409918879 57441536581 63217780483 66958477553 79132746199 213509107669 870460208189 1028725700587 11315982706457