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109046890240 = 285285729819
BaseRepresentation
bin110010110001110110…
…0110111111100000000
3101102110122221222120121
41211203230313330000
53241312000441430
6122032341150024
710610166162541
oct1454354677400
9342418858517
10109046890240
11422791436a2
12191736bb314
13a38abc9832
1453c67a04c8
152c835c9a7a
hex1963b37f00

109046890240 has 72 divisors (see below), whose sum is σ = 261301566960. Its totient is φ = 43602026496.

The previous prime is 109046890193. The next prime is 109046890261. The reversal of 109046890240 is 42098640901.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3642051 + ... + 3671869.

It is an arithmetic number, because the mean of its divisors is an integer number (3629188430).

Almost surely, 2109046890240 is an apocalyptic number.

109046890240 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 109046890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130650783480).

109046890240 is an abundant number, since it is smaller than the sum of its proper divisors (152254676720).

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

109046890240 is an equidigital number, since it uses as much as digits as its factorization.

109046890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32697 (or 32683 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 109046890240 in words is "one hundred nine billion, forty-six million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2857 5714 11428 14285 22856 28570 29819 45712 57140 59638 91424 114280 119276 149095 182848 228560 238552 298190 365696 457120 477104 596380 731392 914240 954208 1192760 1828480 1908416 2385520 3656960 3816832 4771040 7633664 9542080 19084160 38168320 85192883 170385766 340771532 425964415 681543064 851928830 1363086128 1703857660 2726172256 3407715320 5452344512 6815430640 10904689024 13630861280 21809378048 27261722560 54523445120 109046890240