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103892806848 = 2636118149009
BaseRepresentation
bin110000011000001111…
…1100110110011000000
3100221011110122102100010
41200300133212303000
53200233024304343
6115421103224520
710335363200415
oct1406037466300
9327143572303
10103892806848
1140073865546
12181755a8140
139a4916c54c
14505807010c
152a80d88d33
hex18307e6cc0

103892806848 has 112 divisors (see below), whose sum is σ = 280938650720. Its totient is φ = 33874329600.

The previous prime is 103892806847. The next prime is 103892806883. The reversal of 103892806848 is 848608298301.

It is not an unprimeable number, because it can be changed into a prime (103892806847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095368 + ... + 2144376.

It is an arithmetic number, because the mean of its divisors is an integer number (2508380810).

Almost surely, 2103892806848 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 103892806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140469325360).

103892806848 is an abundant number, since it is smaller than the sum of its proper divisors (177045843872).

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

103892806848 is a wasteful number, since it uses less digits than its factorization.

103892806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49266 (or 49256 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 103892806848 in words is "one hundred three billion, eight hundred ninety-two million, eight hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 181 183 192 244 362 366 488 543 724 732 976 1086 1448 1464 1952 2172 2896 2928 3904 4344 5792 5856 8688 11041 11584 11712 17376 22082 33123 34752 44164 49009 66246 88328 98018 132492 147027 176656 196036 264984 294054 353312 392072 529968 588108 706624 784144 1059936 1176216 1568288 2119872 2352432 2989549 3136576 4704864 5979098 8870629 8968647 9409728 11958196 17741258 17937294 23916392 26611887 35482516 35874588 47832784 53223774 70965032 71749176 95665568 106447548 141930064 143498352 191331136 212895096 283860128 286996704 425790192 541108369 567720256 573993408 851580384 1082216738 1623325107 1703160768 2164433476 3246650214 4328866952 6493300428 8657733904 12986600856 17315467808 25973201712 34630935616 51946403424 103892806848