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10816055017040 = 2457131753847531
BaseRepresentation
bin1001110101100100111100…
…0111011111111001010000
31102022000010110201100210202
42131121033013133321100
52404202240041021130
635000454352114332
72164301632501220
oct235311707377120
942260113640722
1010816055017040
1134a00770a0739
121268282b359a8
13605c463b1c80
142956dd868080
1513b53c997145
hex9d64f1dfe50

10816055017040 has 160 divisors (see below), whose sum is σ = 30968249738496. Its totient is φ = 3421146378240.

The previous prime is 10816055017037. The next prime is 10816055017093. The reversal of 10816055017040 is 4071055061801.

It is a super-2 number, since 2×108160550170402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10816055016985 and 10816055017003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12338075 + ... + 13185605.

Almost surely, 210816055017040 is an apocalyptic number.

10816055017040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10816055017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484124869248).

10816055017040 is an abundant number, since it is smaller than the sum of its proper divisors (20152194721456).

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

10816055017040 is a wasteful number, since it uses less digits than its factorization.

10816055017040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849317 (or 849311 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 38.

The spelling of 10816055017040 in words is "ten trillion, eight hundred sixteen billion, fifty-five million, seventeen thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1753 1820 3506 3640 7012 7280 8765 12271 14024 17530 22789 24542 28048 35060 45578 49084 61355 70120 91156 98168 113945 122710 140240 159523 182312 196336 227890 245420 319046 364624 455780 490840 638092 797615 847531 911560 981680 1276184 1595230 1695062 1823120 2552368 3190460 3390124 4237655 5932717 6380920 6780248 8475310 11017903 11865434 12761840 13560496 16950620 22035806 23730868 29663585 33901240 44071612 47461736 55089515 59327170 67802480 77125321 88143224 94923472 110179030 118654340 154250642 176286448 220358060 237308680 308501284 385626605 440716120 474617360 617002568 771253210 881432240 1234005136 1485721843 1542506420 2971443686 3085012840 5942887372 6170025680 7428609215 10400052901 11885774744 14857218430 19314383959 20800105802 23771549488 29714436860 38628767918 41600211604 52000264505 59428873720 77257535836 83200423208 96571919795 104000529010 118857747440 135200687713 154515071672 166400846416 193143839590 208001058020 270401375426 309030143344 386287679180 416002116040 540802750852 676003438565 772575358360 832004232080 1081605501704 1352006877130 1545150716720 2163211003408 2704013754260 5408027508520 10816055017040