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11777114070040 = 2351122433288031
BaseRepresentation
bin1010101101100001001010…
…1100110101110000011000
31112200212210022212201101111
42223120102230311300120
53020424012200220130
641014155335030104
72323603602611434
oct253302254656030
945625708781344
1011777114070040
113830711955800
1213a259780b334
13675766b40327
142ca0302239c4
1515653a6c002a
hexab612b35c18

11777114070040 has 48 divisors (see below), whose sum is σ = 29126457743040. Its totient is φ = 4282586932800.

The previous prime is 11777114070017. The next prime is 11777114070121. The reversal of 11777114070040 is 4007041177711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11777114069975 and 11777114070002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216639176 + ... + 1216648855.

It is an arithmetic number, because the mean of its divisors is an integer number (606801202980).

Almost surely, 211777114070040 is an apocalyptic number.

11777114070040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11777114070040 is an abundant number, since it is smaller than the sum of its proper divisors (17349343673000).

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

11777114070040 is a wasteful number, since it uses less digits than its factorization.

11777114070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433288064 (or 2433288049 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 40.

The spelling of 11777114070040 in words is "eleven trillion, seven hundred seventy-seven billion, one hundred fourteen million, seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2433288031 4866576062 9733152124 12166440155 19466304248 24332880310 26766168341 48665760620 53532336682 97331521240 107064673364 133830841705 214129346728 267661683410 294427851751 535323366820 588855703502 1070646733640 1177711407004 1472139258755 2355422814008 2944278517510 5888557035020 11777114070040