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194500013824 = 281798395059
BaseRepresentation
bin1011010100100100011…
…0101010111100000000
3200121001001002102211201
42311021012222330000
511141314000420244
6225204014150544
720023614560614
oct2651106527400
9617031072751
10194500013824
117553a207186
12318417b2454
1315458a1189c
1495b186d344
1550d56a8ad4
hex2d491aaf00

194500013824 has 72 divisors (see below), whose sum is σ = 390951792000. Its totient is φ = 96572353536.

The previous prime is 194500013821. The next prime is 194500013831. The reversal of 194500013824 is 428310005491.

It is a super-2 number, since 2×1945000138242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194500013821) 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, 38443807 + ... + 38448865.

It is an arithmetic number, because the mean of its divisors is an integer number (5429886000).

Almost surely, 2194500013824 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 194500013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195475896000).

194500013824 is an abundant number, since it is smaller than the sum of its proper divisors (196451778176).

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

194500013824 is an equidigital number, since it uses as much as digits as its factorization.

194500013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 194500013824 in words is "one hundred ninety-four billion, five hundred million, thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 716 839 1432 1678 2864 3356 5059 5728 6712 10118 11456 13424 20236 22912 26848 40472 45824 53696 80944 107392 150181 161888 214784 300362 323776 600724 647552 905561 1201448 1295104 1811122 2402896 3622244 4244501 4805792 7244488 8489002 9611584 14488976 16978004 19223168 28977952 33956008 38446336 57955904 67912016 115911808 135824032 231823616 271648064 543296128 759765679 1086592256 1519531358 3039062716 6078125432 12156250864 24312501728 48625003456 97250006912 194500013824