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990673581720 = 233561832916249
BaseRepresentation
bin11100110101010001011…
…11110011011010011000
310111201002202010021202210
432122220233303122120
5112212344414103340
62035035324555120
7131400546335124
oct16325057633230
93451082107683
10990673581720
11352162456899
1213bbba6b2aa0
137255cccab44
1435d3d942584
151ab82aad180
hexe6a8bf3698

990673581720 has 128 divisors (see below), whose sum is σ = 3021291000000. Its totient is φ = 259801620480.

The previous prime is 990673581649. The next prime is 990673581721. The reversal of 990673581720 is 27185376099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990673581721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60960156 + ... + 60976404.

Almost surely, 2990673581720 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 990673581720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510645500000).

990673581720 is an abundant number, since it is smaller than the sum of its proper divisors (2030617418280).

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

990673581720 is a wasteful number, since it uses less digits than its factorization.

990673581720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24653 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 990673581720 in words is "nine hundred ninety billion, six hundred seventy-three million, five hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 8329 16249 16658 24987 32498 33316 41645 48747 49974 64996 66632 81245 83290 97494 99948 124935 129992 162490 166580 194988 199896 243735 249870 324980 333160 389976 487470 499740 508069 649960 974940 991189 999480 1016138 1524207 1949880 1982378 2032276 2540345 2973567 3048414 3964756 4064552 4955945 5080690 5947134 6096828 7621035 7929512 9911890 10161380 11894268 12193656 14867835 15242070 19823780 20322760 23788536 29735670 30484140 39647560 59471340 60968280 118942680 135337921 270675842 406013763 541351684 676689605 812027526 1082703368 1353379210 1624055052 2030068815 2706758420 3248110104 4060137630 5413516840 8120275260 8255613181 16240550520 16511226362 24766839543 33022452724 41278065905 49533679086 66044905448 82556131810 99067358172 123834197715 165112263620 198134716344 247668395430 330224527240 495336790860 990673581720