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9939120000 = 2735441413
BaseRepresentation
bin10010100000110101…
…01110111110000000
3221122200012121110120
421100122232332000
5130323403320000
64322125500240
7501205061145
oct112032567600
927580177416
109939120000
114240412a67
121b14711680
13c251c2ac4
146a40363cc
153d28846a0
hex2506aef80

9939120000 has 160 divisors (see below), whose sum is σ = 32991220680. Its totient is φ = 2650368000.

The previous prime is 9939119987. The next prime is 9939120007. The reversal of 9939120000 is 219399.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×99391200002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9939120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219294 + ... + 260706.

Almost surely, 29939120000 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 9939120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16495610340).

9939120000 is an abundant number, since it is smaller than the sum of its proper divisors (23052100680).

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

9939120000 is an equidigital number, since it uses as much as digits as its factorization.

9939120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41450 (or 41423 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 9939120000 is about 99695.1352875355. The cubic root of 9939120000 is about 2150.0537213907.

Adding to 9939120000 its reverse (219399), we get a palindrome (9939339399).

The spelling of 9939120000 in words is "nine billion, nine hundred thirty-nine million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 41413 48000 60000 80000 82826 120000 124239 165652 207065 240000 248478 331304 414130 496956 621195 662608 828260 993912 1035325 1242390 1325216 1656520 1987824 2070650 2484780 2650432 3105975 3313040 3975648 4141300 4969560 5176625 5300864 6211950 6626080 7951296 8282600 9939120 10353250 12423900 13252160 15529875 15902592 16565200 19878240 20706500 24847800 25883125 26504320 31059750 33130400 39756480 41413000 49695600 51766250 62119500 66260800 77649375 79512960 82826000 99391200 103532500 124239000 132521600 155298750 165652000 198782400 207065000 248478000 310597500 331304000 397564800 414130000 496956000 621195000 662608000 828260000 993912000 1242390000 1656520000 1987824000 2484780000 3313040000 4969560000 9939120000