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10480820109000 = 2335319183874037
BaseRepresentation
bin1001100010000100000110…
…0011110011111011001000
31101002221211101002112212120
42120201001203303323020
52333204204421442000
634142453340411240
72131133331005253
oct230410143637310
941087741075776
1010480820109000
11338098879852a
121213305546b20
135b044c7a2467
142833bad4c09a
1513296bd056a0
hex988418f3ec8

10480820109000 has 128 divisors (see below), whose sum is σ = 34421219913600. Its totient is φ = 2647786118400.

The previous prime is 10480820108999. The next prime is 10480820109041. The reversal of 10480820109000 is 90102808401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91880019 + ... + 91994018.

It is an arithmetic number, because the mean of its divisors is an integer number (268915780575).

Almost surely, 210480820109000 is an apocalyptic number.

10480820109000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10480820109000 is an abundant number, since it is smaller than the sum of its proper divisors (23940399804600).

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

10480820109000 is a wasteful number, since it uses less digits than its factorization.

10480820109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183874080 (or 183874066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10480820109000 in words is "ten trillion, four hundred eighty billion, eight hundred twenty million, one hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 183874037 367748074 551622111 735496148 919370185 1103244222 1470992296 1838740370 2206488444 2758110555 3493606703 3677480740 4412976888 4596850925 5516221110 6987213406 7354961480 9193701850 10480820109 11032442220 13790552775 13974426812 17468033515 18387403700 20961640218 22064884440 22984254625 27581105550 27948853624 34936067030 36774807400 41923280436 45968509250 52404100545 55162211100 68952763875 69872134060 83846560872 87340167575 91937018500 104808201090 110324422200 137905527750 139744268120 174680335150 183874037000 209616402180 262020502725 275811055500 349360670300 419232804360 436700837875 524041005450 551622111000 698721340600 873401675750 1048082010900 1310102513625 1746803351500 2096164021800 2620205027250 3493606703000 5240410054500 10480820109000