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9003990996720 = 2432517969863369
BaseRepresentation
bin1000001100000110011110…
…1011110101011011110000
31011212202212121120110121200
42003001213223311123300
52140010133143343340
631052213143251200
71616342201453226
oct203014753653360
934782777513550
109003990996720
112961631203025
12101504a449b00
135040c397b405
14231b1cb74b16
15109333c74330
hex83067af56f0

9003990996720 has 120 divisors (see below), whose sum is σ = 30407333158800. Its totient is φ = 2387650464768.

The previous prime is 9003990996719. The next prime is 9003990996731. The reversal of 9003990996720 is 276990993009.

9003990996720 is a `hidden beast` number, since 90 + 0 + 399 + 0 + 9 + 96 + 72 + 0 = 666.

9003990996720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34802805 + ... + 35060564.

It is an arithmetic number, because the mean of its divisors is an integer number (253394442990).

Almost surely, 29003990996720 is an apocalyptic number.

9003990996720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9003990996720 is an abundant number, since it is smaller than the sum of its proper divisors (21403342162080).

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

9003990996720 is a wasteful number, since it uses less digits than its factorization.

9003990996720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69863567 (or 69863558 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The spelling of 9003990996720 in words is "nine trillion, three billion, nine hundred ninety million, nine hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 179 180 240 358 360 537 716 720 895 1074 1432 1611 1790 2148 2685 2864 3222 3580 4296 5370 6444 7160 8055 8592 10740 12888 14320 16110 21480 25776 32220 42960 64440 128880 69863369 139726738 209590107 279453476 349316845 419180214 558906952 628770321 698633690 838360428 1047950535 1117813904 1257540642 1397267380 1676720856 2095901070 2515081284 2794534760 3143851605 3353441712 4191802140 5030162568 5589069520 6287703210 8383604280 10060325136 12505543051 12575406420 16767208560 25011086102 25150812840 37516629153 50022172204 50301625680 62527715255 75033258306 100044344408 112549887459 125055430510 150066516612 187583145765 200088688816 225099774918 250110861020 300133033224 375166291530 450199549836 500221722040 562749437295 600266066448 750332583060 900399099672 1000443444080 1125498874590 1500665166120 1800798199344 2250997749180 3001330332240 4501995498360 9003990996720