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10926113240 = 2357535912479
BaseRepresentation
bin10100010110011111…
…10100000111011000
31001012110102001122202
422023033310013120
5134334041110430
65004104305332
7534521300360
oct121317640730
931173361582
1010926113240
1146a7562659
12214b172248
131051827983
147591599a0
1543e346d45
hex28b3f41d8

10926113240 has 128 divisors (see below), whose sum is σ = 29113344000. Its totient is φ = 3612830208.

The previous prime is 10926113221. The next prime is 10926113243. The reversal of 10926113240 is 4231162901.

10926113240 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 (10926113243) 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 31 ways as a sum of consecutive naturals, for example, 869321 + ... + 881799.

It is an arithmetic number, because the mean of its divisors is an integer number (227448000).

Almost surely, 210926113240 is an apocalyptic number.

10926113240 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 10926113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556672000).

10926113240 is an abundant number, since it is smaller than the sum of its proper divisors (18187230760).

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

10926113240 is a wasteful number, since it uses less digits than its factorization.

10926113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12609 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10926113240 in words is "ten billion, nine hundred twenty-six million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 59 70 106 118 140 212 236 265 280 295 371 413 424 472 530 590 742 826 1060 1180 1484 1652 1855 2065 2120 2360 2968 3127 3304 3710 4130 6254 7420 8260 12479 12508 14840 15635 16520 21889 24958 25016 31270 43778 49916 62395 62540 87353 87556 99832 109445 124790 125080 174706 175112 218890 249580 349412 436765 437780 499160 661387 698824 736261 873530 875560 1322774 1472522 1747060 2645548 2945044 3306935 3494120 3681305 4629709 5153827 5291096 5890088 6613870 7362610 9259418 10307654 13227740 14725220 18518836 20615308 23148545 25769135 26455480 29450440 37037672 39021833 41230616 46297090 51538270 78043666 92594180 103076540 156087332 185188360 195109165 206153080 273152831 312174664 390218330 546305662 780436660 1092611324 1365764155 1560873320 2185222648 2731528310 5463056620 10926113240