Search a number
-
+
104161056000 = 283531085011
BaseRepresentation
bin110000100000001111…
…0111001010100000000
3100221212011101212222220
41201000132321110000
53201310212243000
6115503444531040
710345131240051
oct1410036712400
9327764355886
10104161056000
11401a1223061
121822b3b0a80
139a8c901461
14508193a728
152a996c51a0
hex18407b9500

104161056000 has 144 divisors (see below), whose sum is σ = 345971266368. Its totient is φ = 27776256000.

The previous prime is 104161055987. The next prime is 104161056029. The reversal of 104161056000 is 650161401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 446506 + ... + 638505.

Almost surely, 2104161056000 is an apocalyptic number.

104161056000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104161056000 is an abundant number, since it is smaller than the sum of its proper divisors (241810210368).

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

104161056000 is an equidigital number, since it uses as much as digits as its factorization.

104161056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085045 (or 1085021 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 104161056000 in words is "one hundred four billion, one hundred sixty-one million, fifty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 1085011 2170022 3255033 4340044 5425055 6510066 8680088 10850110 13020132 16275165 17360176 21700220 26040264 27125275 32550330 34720352 43400440 52080528 54250550 65100660 69440704 81375825 86800880 104161056 108501100 130201320 135626375 138881408 162751650 173601760 208322112 217002200 260402640 271252750 277762816 325503300 347203520 406879125 416644224 434004400 520805280 542505500 651006600 694407040 813758250 833288448 868008800 1041610560 1085011000 1302013200 1388814080 1627516500 1736017600 2083221120 2170022000 2604026400 3255033000 3472035200 4166442240 4340044000 5208052800 6510066000 6944070400 8680088000 10416105600 13020132000 17360176000 20832211200 26040264000 34720352000 52080528000 104161056000