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11581117506387 = 32111323172183581
BaseRepresentation
bin1010100010000111000001…
…1001010010001101010011
31112000010212222202200010100
42220201300121102031103
53004221112040201022
640344143020303443
72303464613402502
oct250416031221523
945003788680110
1011581117506387
113765584a05590
1213705b89a1b83
13660130076a00
142c0759b0c839
151513b894e1ac
hexa8870652353

11581117506387 has 72 divisors (see below), whose sum is σ = 19823133861648. Its totient is φ = 6458505580800.

The previous prime is 11581117506379. The next prime is 11581117506397. The reversal of 11581117506387 is 78360571118511.

It is a happy number.

11581117506387 is a `hidden beast` number, since 1 + 1 + 58 + 1 + 1 + 1 + 7 + 506 + 3 + 87 = 666.

It is not a de Polignac number, because 11581117506387 - 23 = 11581117506379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11581117506337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4211937 + ... + 6395517.

It is an arithmetic number, because the mean of its divisors is an integer number (275321303634).

Almost surely, 211581117506387 is an apocalyptic number.

11581117506387 is a deficient number, since it is larger than the sum of its proper divisors (8242016355261).

11581117506387 is a wasteful number, since it uses less digits than its factorization.

11581117506387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183941 (or 2183925 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 54.

The spelling of 11581117506387 in words is "eleven trillion, five hundred eighty-one billion, one hundred seventeen million, five hundred six thousand, three hundred eighty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 317 429 507 951 1287 1521 1859 2853 3487 4121 5577 10461 12363 16731 31383 37089 45331 53573 135993 160719 407979 482157 589303 1767909 2183581 5303727 6550743 19652229 24019391 28386553 72058173 85159659 216174519 255478977 312252083 369025189 692195177 936756249 1107075567 2076585531 2810268747 3321226701 4059277079 6229756593 7614146947 8998537301 12177831237 22842440841 26995611903 36533493711 68527322523 80986835709 98983910311 116980984913 296951730933 350942954739 890855192799 1052828864217 1286790834043 3860372502129 11581117506387