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11421083114688 = 2631324118986533
BaseRepresentation
bin1010011000110010110110…
…0110100001110011000000
31111102211210220211020120210
42212030231212201303000
52444110334234132223
640142435000034120
72256101041460112
oct246145546416300
944384726736523
1011421083114688
113703721742435
121345595762940
1364b007958190
142b6ad78053b2
1514c14de6b893
hexa632d9a1cc0

11421083114688 has 112 divisors (see below), whose sum is σ = 32677799613536. Its totient is φ = 3499597578240.

The previous prime is 11421083114663. The next prime is 11421083114717. The reversal of 11421083114688 is 88641138012411.

It is a super-2 number, since 2×114210831146882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8891731 + ... + 10094802.

It is an arithmetic number, because the mean of its divisors is an integer number (291766067978).

Almost surely, 211421083114688 is an apocalyptic number.

It is an amenable number.

11421083114688 is an abundant number, since it is smaller than the sum of its proper divisors (21256716498848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11421083114688 is a wasteful number, since it uses less digits than its factorization.

11421083114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18986802 (or 18986792 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 11421083114688 in words is "eleven trillion, four hundred twenty-one billion, eighty-three million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 241 312 416 482 624 723 832 964 1248 1446 1928 2496 2892 3133 3856 5784 6266 7712 9399 11568 12532 15424 18798 23136 25064 37596 46272 50128 75192 100256 150384 200512 300768 601536 18986533 37973066 56959599 75946132 113919198 151892264 227838396 246824929 303784528 455676792 493649858 607569056 740474787 911353584 987299716 1215138112 1480949574 1822707168 1974599432 2961899148 3645414336 3949198864 4575754453 5923798296 7898397728 9151508906 11847596592 13727263359 15796795456 18303017812 23695193184 27454526718 36606035624 47390386368 54909053436 59484807889 73212071248 109818106872 118969615778 146424142496 178454423667 219636213744 237939231556 292848284992 356908847334 439272427488 475878463112 713817694668 878544854976 951756926224 1427635389336 1903513852448 2855270778672 3807027704896 5710541557344 11421083114688