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109261160041920 = 2635155973004303
BaseRepresentation
bin11000110101111101011000…
…101000011100110111000000
3112022212021011002211002020020
4120311331120220130313000
5103310113323432320140
61024213514535213440
732004600254505615
oct3065753050346700
9468767132732206
10109261160041920
11318a5441458197
1210307665517280
1348c738b1c5a03
141cda3a855a50c
15c972009196d0
hex635f58a1cdc0

109261160041920 has 112 divisors (see below), whose sum is σ = 347126705003520. Its totient is φ = 29117619844096.

The previous prime is 109261160041919. The next prime is 109261160041931. The reversal of 109261160041920 is 29140061162901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35005512 + ... + 37998791.

Almost surely, 2109261160041920 is an apocalyptic number.

109261160041920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109261160041920 is an abundant number, since it is smaller than the sum of its proper divisors (237865544961600).

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

109261160041920 is a wasteful number, since it uses less digits than its factorization.

109261160041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73005882 (or 73005872 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 109261160041920 in words is "one hundred nine trillion, two hundred sixty-one billion, one hundred sixty million, forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1559 3118 4677 6236 7795 9354 12472 15590 18708 23385 24944 31180 37416 46770 49888 62360 74832 93540 99776 124720 149664 187080 249440 299328 374160 498880 748320 1496640 73004303 146008606 219012909 292017212 365021515 438025818 584034424 730043030 876051636 1095064545 1168068848 1460086060 1752103272 2190129090 2336137696 2920172120 3504206544 4380258180 4672275392 5840344240 7008413088 8760516360 11680688480 14016826176 17521032720 23361376960 35042065440 70084130880 113813708377 227627416754 341441125131 455254833508 569068541885 682882250262 910509667016 1138137083770 1365764500524 1707205625655 1821019334032 2276274167540 2731529001048 3414411251310 3642038668064 4552548335080 5463058002096 6828822502620 7284077336128 9105096670160 10926116004192 13657645005240 18210193340320 21852232008384 27315290010480 36420386680640 54630580020960 109261160041920