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106794907904 = 28974878831
BaseRepresentation
bin110001101110101111…
…0001111100100000000
3101012122201110102120102
41203131132033210000
53222203444023104
6121021053301532
710500322511426
oct1433536174400
9335581412512
10106794907904
1141322a39a73
12188454948a8
13a0bc4976c9
145251671116
152ba0a40a1e
hex18dd78f900

106794907904 has 72 divisors (see below), whose sum is σ = 215836981248. Its totient is φ = 52732477440.

The previous prime is 106794907903. The next prime is 106794907979. The reversal of 106794907904 is 409709497601.

It is a super-2 number, since 2×1067949079042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106794907904.

It is not an unprimeable number, because it can be changed into a prime (106794907903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12088769 + ... + 12097599.

Almost surely, 2106794907904 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 106794907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107918490624).

106794907904 is an abundant number, since it is smaller than the sum of its proper divisors (109042073344).

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

106794907904 is an frugal number, since it uses more digits than its factorization.

106794907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 56.

The spelling of 106794907904 in words is "one hundred six billion, seven hundred ninety-four million, nine hundred seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 487 776 974 1552 1948 3104 3896 6208 7792 8831 12416 15584 17662 24832 31168 35324 47239 62336 70648 94478 124672 141296 188956 282592 377912 565184 755824 856607 1130368 1511648 1713214 2260736 3023296 3426428 4300697 6046592 6852856 8601394 12093184 13705712 17202788 27411424 34405576 54822848 68811152 109645696 137622304 219291392 275244608 417167609 550489216 834335218 1100978432 1668670436 3337340872 6674681744 13349363488 26698726976 53397453952 106794907904