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109113829221840 = 24353114665837261
BaseRepresentation
bin11000110011110100001011…
…000001111110010111010000
3112022100011212100212221212020
4120303310023001332113100
5103300210110240044330
61024022111240331440
731661133256265202
oct3063641301762720
9468304770787766
10109113829221840
1131848a08005463
12102a2ba8773b80
1348b650b92b971
141cd31cd498772
15c9347b333210
hex633d0b07e5d0

109113829221840 has 80 divisors (see below), whose sum is σ = 349164253533696. Its totient is φ = 28158407539200.

The previous prime is 109113829221827. The next prime is 109113829221869. The reversal of 109113829221840 is 48122928311901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7332911191 + ... + 7332926070.

Almost surely, 2109113829221840 is an apocalyptic number.

109113829221840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109113829221840 is an abundant number, since it is smaller than the sum of its proper divisors (240050424311856).

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

109113829221840 is a wasteful number, since it uses less digits than its factorization.

109113829221840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665837308 (or 14665837302 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 109113829221840 in words is "one hundred nine trillion, one hundred thirteen billion, eight hundred twenty-nine million, two hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 14665837261 29331674522 43997511783 58663349044 73329186305 87995023566 117326698088 146658372610 175990047132 219987558915 234653396176 293316745220 351980094264 439975117830 454640955091 586633490440 703960188528 879950235660 909281910182 1173266980880 1363922865273 1759900471320 1818563820364 2273204775455 2727845730546 3519800942640 3637127640728 4546409550910 5455691461092 6819614326365 7274255281456 9092819101820 10911382922184 13639228652730 18185638203640 21822765844368 27278457305460 36371276407280 54556914610920 109113829221840