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11025034172096 = 267173146697251
BaseRepresentation
bin1010000001101111011100…
…1111101101011011000000
31110000222112120212101102112
42200123313033231123000
52421113232222001341
635240455240434452
72215350424140650
oct240336717553300
943028476771375
1011025034172096
113570766405a3a
1212a0885778a28
1361c86ba63539
142a1886296360
15141bbe37baeb
hexa06f73ed6c0

11025034172096 has 112 divisors (see below), whose sum is σ = 27327979026432. Its totient is φ = 4303618560000.

The previous prime is 11025034172081. The next prime is 11025034172107. The reversal of 11025034172096 is 69027143052011.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23112530 + ... + 23584721.

It is an arithmetic number, because the mean of its divisors is an integer number (243999812736).

Almost surely, 211025034172096 is an apocalyptic number.

11025034172096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11025034172096 is an abundant number, since it is smaller than the sum of its proper divisors (16302944854336).

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

11025034172096 is a wasteful number, since it uses less digits than its factorization.

11025034172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46697318 (or 46697308 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 11025034172096 in words is "eleven trillion, twenty-five billion, thirty-four million, one hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 136 217 224 238 248 272 434 448 476 496 527 544 868 952 992 1054 1088 1736 1904 1984 2108 3472 3689 3808 4216 6944 7378 7616 8432 13888 14756 16864 29512 33728 59024 118048 236096 46697251 93394502 186789004 326880757 373578008 653761514 747156016 793853267 1307523028 1447614781 1494312032 1587706534 2615046056 2895229562 2988624064 3175413068 5230092112 5556972869 5790459124 6350826136 10133303467 10460184224 11113945738 11580918248 12701652272 20266606934 20920368448 22227891476 23161836496 24609451277 25403304544 40533213868 44455782952 46323672992 49218902554 50806609088 81066427736 88911565904 92647345984 98437805108 162132855472 172266158939 177823131808 196875610216 324265710944 344532317878 355646263616 393751220432 648531421888 689064635756 787502440864 1378129271512 1575004881728 2756258543024 5512517086048 11025034172096