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106944474096 = 2433943926227
BaseRepresentation
bin110001110011001100…
…0110010101111110000
3101020001010220011211000
41203212120302233300
53223010241132341
6121043555122000
710504120013445
oct1434630625760
9336033804730
10106944474096
114139a405299
12188875a3300
13a114474005
1452674859cc
152badc368b6
hex18e6632bf0

106944474096 has 80 divisors (see below), whose sum is σ = 307014476800. Its totient is φ = 35643022272.

The previous prime is 106944474083. The next prime is 106944474097. The reversal of 106944474096 is 690474449601.

106944474096 is a `hidden beast` number, since 10 + 69 + 4 + 447 + 40 + 96 = 666.

It is a super-2 number, since 2×1069444740962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106944474097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4064535 + ... + 4090761.

It is an arithmetic number, because the mean of its divisors is an integer number (3837680960).

Almost surely, 2106944474096 is an apocalyptic number.

106944474096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106944474096 is an abundant number, since it is smaller than the sum of its proper divisors (200070002704).

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

106944474096 is a wasteful number, since it uses less digits than its factorization.

106944474096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35683 (or 35671 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 106944474096 in words is "one hundred six billion, nine hundred forty-four million, four hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9439 18878 26227 28317 37756 52454 56634 75512 78681 84951 104908 113268 151024 157362 169902 209816 226536 236043 254853 314724 339804 419632 453072 472086 509706 629448 679608 708129 944172 1019412 1258896 1359216 1416258 1888344 2038824 2832516 3776688 4077648 5665032 11330064 247556653 495113306 742669959 990226612 1485339918 1980453224 2228009877 2970679836 3960906448 4456019754 5941359672 6684029631 8912039508 11882719344 13368059262 17824079016 26736118524 35648158032 53472237048 106944474096