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11664056740 = 22574714911897
BaseRepresentation
bin10101101110011101…
…10110000110100100
31010002212222110211111
422313032312012210
5142341444303430
65205225114404
7562021563220
oct126716660644
933085873744
1011664056740
114a46068516
122316328a04
13113b69082b
147c916d780
15484011c2a
hex2b73b61a4

11664056740 has 96 divisors (see below), whose sum is σ = 28783641600. Its totient is φ = 3887422464.

The previous prime is 11664056669. The next prime is 11664056753. The reversal of 11664056740 is 4765046611.

It is a junction number, because it is equal to n+sod(n) for n = 11664056693 and 11664056702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974472 + ... + 986368.

It is an arithmetic number, because the mean of its divisors is an integer number (299829600).

Almost surely, 211664056740 is an apocalyptic number.

11664056740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11664056740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391820800).

11664056740 is an abundant number, since it is smaller than the sum of its proper divisors (17119584860).

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

11664056740 is a wasteful number, since it uses less digits than its factorization.

11664056740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 11664056740 in words is "eleven billion, six hundred sixty-four million, fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 149 188 235 298 329 470 596 658 745 940 1043 1316 1490 1645 2086 2980 3290 4172 5215 6580 7003 10430 11897 14006 20860 23794 28012 35015 47588 49021 59485 70030 83279 98042 118970 140060 166558 196084 237940 245105 333116 416395 490210 559159 832790 980420 1118318 1665580 1772653 2236636 2795795 3545306 3914113 5591590 7090612 7828226 8863265 11183180 12408571 15656452 17726530 19570565 24817142 35453060 39141130 49634284 62042855 78282260 83314691 124085710 166629382 248171420 333258764 416573455 583202837 833146910 1166405674 1666293820 2332811348 2916014185 5832028370 11664056740