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9954211920 = 243557797177
BaseRepresentation
bin10010100010101000…
…10011100001010000
3221200201121100200120
421101110103201100
5130341234240140
64323425150240
7501450256002
oct112124234120
927621540616
109954211920
114248990824
121b1978b380
13c28378233
146a6044372
153d3d661d0
hex251513850

9954211920 has 80 divisors (see below), whose sum is σ = 30867696960. Its totient is φ = 2653627392.

The previous prime is 9954211919. The next prime is 9954211951. The reversal of 9954211920 is 291124599.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383372 + ... + 1390548.

It is an arithmetic number, because the mean of its divisors is an integer number (385846212).

Almost surely, 29954211920 is an apocalyptic number.

It is an amenable number.

9954211920 is an abundant number, since it is smaller than the sum of its proper divisors (20913485040).

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

9954211920 is a wasteful number, since it uses less digits than its factorization.

9954211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 9954211920 is about 99770.7969297630. The cubic root of 9954211920 is about 2151.1414108766.

The spelling of 9954211920 in words is "nine billion, nine hundred fifty-four million, two hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5779 7177 11558 14354 17337 21531 23116 28708 28895 34674 35885 43062 46232 57416 57790 69348 71770 86124 86685 92464 107655 114832 115580 138696 143540 172248 173370 215310 231160 277392 287080 344496 346740 430620 462320 574160 693480 861240 1386960 1722480 41475883 82951766 124427649 165903532 207379415 248855298 331807064 414758830 497710596 622138245 663614128 829517660 995421192 1244276490 1659035320 1990842384 2488552980 3318070640 4977105960 9954211920