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2134220774772 = 22317711091351837
BaseRepresentation
bin11111000011101001011…
…110001001110101110100
321120000210111220200002110
4133003221132021311310
5234431341004243042
64312240354011020
7310122660160152
oct37035136116564
97500714820073
102134220774772
11753132a96529
122a5762276a70
13126343a09868
147542273c3d2
153a7b167609c
hex1f0e9789d74

2134220774772 has 96 divisors (see below), whose sum is σ = 5396104707840. Its totient is φ = 654072330240.

The previous prime is 2134220774761. The next prime is 2134220774801. The reversal of 2134220774772 is 2774770224312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902838 + ... + 2254674.

It is an arithmetic number, because the mean of its divisors is an integer number (56209424040).

Almost surely, 22134220774772 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 2134220774772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698052353920).

2134220774772 is an abundant number, since it is smaller than the sum of its proper divisors (3261883933068).

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

2134220774772 is a wasteful number, since it uses less digits than its factorization.

2134220774772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352041 (or 1352039 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 48.

The spelling of 2134220774772 in words is "two trillion, one hundred thirty-four billion, two hundred twenty million, seven hundred seventy-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 109 142 204 213 218 284 327 426 436 654 852 1207 1308 1853 2414 3621 3706 4828 5559 7242 7412 7739 11118 14484 15478 22236 23217 30956 46434 92868 131563 263126 394689 526252 789378 1351837 1578756 2703674 4055511 5407348 8111022 16222044 22981229 45962458 68943687 91924916 95980427 137887374 147350233 191960854 275774748 287941281 294700466 383921708 442050699 575882562 589400932 884101398 1151765124 1631667259 1768202796 2504953961 3263334518 4895001777 5009907922 6526669036 7514861883 9790003554 10019815844 10461866543 15029723766 19580007108 20923733086 30059447532 31385599629 41847466172 62771199258 125542398516 177851731231 355703462462 533555193693 711406924924 1067110387386 2134220774772