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992995042000 = 245313349109433
BaseRepresentation
bin11100111001100110001…
…11011110001011010000
310111221002112100200121011
432130303013132023100
5112232123212321000
62040101533540304
7131512225406653
oct16346307361320
93457075320534
10992995042000
113531438a5305
12140548044694
137283cc47c90
14360bdd9989a
151ac6b7bd2ba
hexe7331de2d0

992995042000 has 160 divisors (see below), whose sum is σ = 2593191837600. Its totient is φ = 365590425600.

The previous prime is 992995041953. The next prime is 992995042009. The reversal of 992995042000 is 240599299.

It can be written as a sum of positive squares in 16 ways, for example, as 520371791424 + 472623250576 = 721368^2 + 687476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992995042009) 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, 9019284 + ... + 9128716.

It is an arithmetic number, because the mean of its divisors is an integer number (16207448985).

Almost surely, 2992995042000 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 992995042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296595918800).

992995042000 is an abundant number, since it is smaller than the sum of its proper divisors (1600196795600).

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

992995042000 is a wasteful number, since it uses less digits than its factorization.

992995042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109818 (or 109802 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The spelling of 992995042000 in words is "nine hundred ninety-two billion, nine hundred ninety-five million, forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 349 400 500 520 650 698 1000 1040 1300 1396 1625 1745 2000 2600 2792 3250 3490 4537 5200 5584 6500 6980 8725 9074 13000 13960 17450 18148 22685 26000 27920 34900 36296 43625 45370 69800 72592 87250 90740 109433 113425 139600 174500 181480 218866 226850 349000 362960 437732 453700 547165 567125 698000 875464 907400 1094330 1134250 1422629 1750928 1814800 2188660 2268500 2735825 2845258 4377320 4537000 5471650 5690516 7113145 8754640 9074000 10943300 11381032 13679125 14226290 21886600 22762064 27358250 28452580 35565725 38192117 43773200 54716500 56905160 71131450 76384234 109433000 113810320 142262900 152768468 177828625 190960585 218866000 284525800 305536936 355657250 381921170 496497521 569051600 611073872 711314500 763842340 954802925 992995042 1422629000 1527684680 1909605850 1985990084 2482487605 2845258000 3055369360 3819211700 3971980168 4774014625 4964975210 7638423400 7943960336 9548029250 9929950420 12412438025 15276846800 19096058500 19859900840 24824876050 38192117000 39719801680 49649752100 62062190125 76384234000 99299504200 124124380250 198599008400 248248760500 496497521000 992995042000