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2110442976612 = 22325316317213943
BaseRepresentation
bin11110101101100000001…
…101000011010101100100
321110202102101210101000100
4132231200031003111210
5234034141400222422
64253305113144100
7305321513213355
oct36554015032544
97422371711010
102110442976612
1174404104a873
122a10270bb030
1312402476c1c9
1474208823d2c
1539d6de277ac
hex1eb60343564

2110442976612 has 144 divisors (see below), whose sum is σ = 5473297484928. Its totient is φ = 685400901120.

The previous prime is 2110442976571. The next prime is 2110442976643. The reversal of 2110442976612 is 2166792440112.

2110442976612 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 4 + 29 + 7 + 6 + 612 = 666.

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 47 ways as a sum of consecutive naturals, for example, 535235913 + ... + 535239855.

It is an arithmetic number, because the mean of its divisors is an integer number (38009010312).

Almost surely, 22110442976612 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 2110442976612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736648742464).

2110442976612 is an abundant number, since it is smaller than the sum of its proper divisors (3362854508316).

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

2110442976612 is a wasteful number, since it uses less digits than its factorization.

2110442976612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2110442976612 in words is "two trillion, one hundred ten billion, four hundred forty-two million, nine hundred seventy-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 163 212 318 326 477 489 636 652 954 978 1467 1721 1908 1956 2934 3442 3943 5163 5868 6884 7886 8639 10326 11829 15489 15772 17278 20652 23658 25917 30978 34556 35487 47316 51834 61956 70974 77751 91213 103668 141948 155502 182426 208979 273639 280523 311004 364852 417958 547278 561046 626937 642709 820917 835916 841569 1094556 1122092 1253874 1285418 1641834 1683138 1880811 1928127 2507748 2524707 2570836 3283668 3366276 3761622 3856254 5049414 5784381 6785903 7523244 7712508 10098828 11568762 13571806 14867719 20357709 23137524 27143612 29735438 34063577 40715418 44603157 59470876 61073127 68127154 81430836 89206314 102190731 122146254 133809471 136254308 178412628 204381462 244292508 267618942 306572193 359652859 408762924 535237884 613144386 719305718 1078958577 1106102189 1226288772 1438611436 2157917154 2212204378 3236875731 3318306567 4315834308 4424408756 6473751462 6636613134 9954919701 12947502924 13273226268 19909839402 39819678804 58623416017 117246832034 175870248051 234493664068 351740496102 527610744153 703480992204 1055221488306 2110442976612