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11318237568001 = 7132292414093347
BaseRepresentation
bin1010010010110011101110…
…0001111001110000000001
31111002000100102210011010001
42210230323201321300001
52440414222304134001
640023305423040001
72245500322654120
oct244547341716001
944060312704101
1011318237568001
11367404604aa61
121329672a40001
136413c7762100
142b1b3c8a5ab7
1514962eeec001
hexa4b3b879c01

11318237568001 has 96 divisors (see below), whose sum is σ = 14589721555200. Its totient is φ = 8586797506560.

The previous prime is 11318237567977. The next prime is 11318237568023. The reversal of 11318237568001 is 10086573281311.

It is not a de Polignac number, because 11318237568001 - 25 = 11318237567969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11318237568061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3381605010 + ... + 3381608356.

It is an arithmetic number, because the mean of its divisors is an integer number (151976266200).

Almost surely, 211318237568001 is an apocalyptic number.

It is an amenable number.

11318237568001 is a deficient number, since it is larger than the sum of its proper divisors (3271483987199).

11318237568001 is a wasteful number, since it uses less digits than its factorization.

11318237568001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 11318237568001 in words is "eleven trillion, three hundred eighteen billion, two hundred thirty-seven million, five hundred sixty-eight thousand, one".

Divisors: 1 7 13 29 91 169 203 241 377 409 1183 1687 2639 2863 3133 3347 4901 5317 6989 11861 21931 23429 34307 37219 40729 43511 48923 69121 83027 90857 97063 98569 154193 285103 304577 483847 565643 635999 679441 689983 806627 1079351 1181141 1261819 1281397 1368923 2004509 2858501 3959501 5646389 8267987 8832733 8969779 9582461 10486151 14031563 16403647 16658161 17795999 20009507 23392183 37160513 39698767 73403057 114825529 116607127 124571993 136319963 163745281 231347987 260123591 277891369 304098379 329910443 483086669 516083971 954239741 1619435909 2128688653 2309373101 3381606683 3612587797 3953278927 4288835759 6709091623 9567402847 27672952489 30021850313 46963641361 55754864867 66971819929 124376237011 390284054069 870633659077 1616891081143 11318237568001