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192134667440 = 245294310119069
BaseRepresentation
bin1011001011110000011…
…1100101110010110000
3200100221012021101121002
42302330013211302300
511121442433324230
6224133200421132
716611163504202
oct2627407456260
9610835241532
10192134667440
1174536013461
12312a16177a8
131516c96a141
149429670772
154ee7bca545
hex2cbc1e5cb0

192134667440 has 160 divisors (see below), whose sum is σ = 477570772800. Its totient is φ = 71756697600.

The previous prime is 192134667421. The next prime is 192134667479. The reversal of 192134667440 is 44766431291.

192134667440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 10066226 + ... + 10085294.

It is an arithmetic number, because the mean of its divisors is an integer number (2984817330).

Almost surely, 2192134667440 is an apocalyptic number.

192134667440 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 192134667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238785386400).

192134667440 is an abundant number, since it is smaller than the sum of its proper divisors (285436105360).

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

192134667440 is a wasteful number, since it uses less digits than its factorization.

192134667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19255 (or 19249 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 192134667440 in words is "one hundred ninety-two billion, one hundred thirty-four million, six hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 101 116 145 172 202 215 232 290 344 404 430 464 505 580 688 808 860 1010 1160 1247 1616 1720 2020 2320 2494 2929 3440 4040 4343 4988 5858 6235 8080 8686 9976 11716 12470 14645 17372 19069 19952 21715 23432 24940 29290 34744 38138 43430 46864 49880 58580 69488 76276 86860 95345 99760 117160 125947 152552 173720 190690 234320 251894 305104 347440 381380 503788 553001 629735 762760 819967 1007576 1106002 1259470 1525520 1639934 1925969 2015152 2212004 2518940 2765005 3279868 3851938 4099835 4424008 5037880 5530010 6559736 7703876 8199670 8848016 9629845 10075760 11060020 13119472 15407752 16399340 19259690 22120040 23779043 30815504 32798680 38519380 44240080 47558086 55853101 65597360 77038760 82816667 95116172 111706202 118895215 154077520 165633334 190232344 223412404 237790430 279265505 331266668 380464688 414083335 446824808 475580860 558531010 662533336 828166670 893649616 951161720 1117062020 1325066672 1656333340 1902323440 2234124040 2401683343 3312666680 4468248080 4803366686 6625333360 9606733372 12008416715 19213466744 24016833430 38426933488 48033666860 96067333720 192134667440