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103426107936 = 2534736762459
BaseRepresentation
bin110000001010010101…
…1010010101000100000
3100212221221110122210020
41200110223102220200
53143304040423221
6115302512233440
710320665261244
oct1402453225040
9325857418706
10103426107936
113a954383768
121806523b880
1399a3576b48
1450120a6424
152a54decac6
hex1814ad2a20

103426107936 has 96 divisors (see below), whose sum is σ = 278029946880. Its totient is φ = 33649372416.

The previous prime is 103426107931. The next prime is 103426107943. The reversal of 103426107936 is 639701624301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1034261079363 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103426107931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624675 + ... + 1687133.

It is an arithmetic number, because the mean of its divisors is an integer number (2896145280).

Almost surely, 2103426107936 is an apocalyptic number.

103426107936 is a gapful number since it is divisible by the number (16) 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 103426107936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139014973440).

103426107936 is an abundant number, since it is smaller than the sum of its proper divisors (174603838944).

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

103426107936 is a wasteful number, since it uses less digits than its factorization.

103426107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62886 (or 62878 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 103426107936 in words is "one hundred three billion, four hundred twenty-six million, one hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 367 376 564 734 752 1101 1128 1468 1504 2202 2256 2936 4404 4512 5872 8808 11744 17249 17616 34498 35232 51747 62459 68996 103494 124918 137992 187377 206988 249836 275984 374754 413976 499672 551968 749508 827952 999344 1499016 1655904 1998688 2935573 2998032 5871146 5996064 8806719 11742292 17613438 22922453 23484584 35226876 45844906 46969168 68767359 70453752 91689812 93938336 137534718 140907504 183379624 275069436 281815008 366759248 550138872 733518496 1077355291 1100277744 2154710582 2200555488 3232065873 4309421164 6464131746 8618842328 12928263492 17237684656 25856526984 34475369312 51713053968 103426107936