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11706272740 = 2252321816113
BaseRepresentation
bin10101110011011111…
…11000101111100100
31010012211102021022001
422321233320233210
5142433301211430
65213334015044
7563043451021
oct127157705744
933184367261
1011706272740
114a67981a78
1223284a7484
131147351c06
147d09dc548
15487aa03ca
hex2b9bf8be4

11706272740 has 72 divisors (see below), whose sum is σ = 25844685048. Its totient is φ = 4453447680.

The previous prime is 11706272737. The next prime is 11706272789. The reversal of 11706272740 is 4727260711.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 11705508864 = 874^2 + 108192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11706272740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911924 + ... + 1918036.

It is an arithmetic number, because the mean of its divisors is an integer number (358953959).

Almost surely, 211706272740 is an apocalyptic number.

11706272740 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 11706272740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922342524).

11706272740 is an abundant number, since it is smaller than the sum of its proper divisors (14138412308).

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

11706272740 is a wasteful number, since it uses less digits than its factorization.

11706272740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 11706272740 in words is "eleven billion, seven hundred six million, two hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 362 460 529 724 905 1058 1810 2116 2645 3620 4163 5290 6113 8326 10580 12226 16652 20815 24452 30565 41630 61130 83260 95749 122260 140599 191498 281198 382996 478745 562396 702995 957490 1106453 1405990 1914980 2212906 2811980 3233777 4425812 5532265 6467554 11064530 12935108 16168885 22129060 25448419 32337770 50896838 64675540 101793676 127242095 254484190 508968380 585313637 1170627274 2341254548 2926568185 5853136370 11706272740