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11166642928 = 247231538669
BaseRepresentation
bin10100110011001010…
…10111001011110000
31001211020000020100201
422121211113023300
5140332130033203
65044015524544
7543501620200
oct123145271360
931736006321
1011166642928
114810308121
1221b7829754
13108c60292c
1477d08c400
15455509e1d
hex2999572f0

11166642928 has 120 divisors (see below), whose sum is σ = 26472769920. Its totient is φ = 4543418880.

The previous prime is 11166642923. The next prime is 11166642973. The reversal of 11166642928 is 82924666111.

It is a happy number.

11166642928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166642923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283778 + ... + 1292446.

It is an arithmetic number, because the mean of its divisors is an integer number (220606416).

Almost surely, 211166642928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11166642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236384960).

11166642928 is an abundant number, since it is smaller than the sum of its proper divisors (15306126992).

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

11166642928 is a wasteful number, since it uses less digits than its factorization.

11166642928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8762 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The spelling of 11166642928 in words is "eleven billion, one hundred sixty-six million, six hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 53 56 62 98 106 112 124 196 212 217 248 371 392 424 434 496 742 784 848 868 1484 1519 1643 1736 2597 2968 3038 3286 3472 5194 5936 6076 6572 8669 10388 11501 12152 13144 17338 20776 23002 24304 26288 34676 41552 46004 60683 69352 80507 92008 121366 138704 161014 184016 242732 268739 322028 424781 459457 485464 537478 644056 849562 918914 970928 1074956 1288112 1699124 1837828 1881173 2149912 3216199 3398248 3675656 3762346 4299824 6432398 6796496 7351312 7524692 12864796 13168211 14243167 15049384 22513393 25729592 26336422 28486334 30098768 45026786 51459184 52672844 56972668 90053572 99702169 105345688 113945336 180107144 199404338 210691376 227890672 360214288 398808676 697915183 797617352 1395830366 1595234704 2791660732 5583321464 11166642928