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116216914800 = 24352713835347
BaseRepresentation
bin110110000111100010…
…0010110001101110000
3102002222100121222012210
41230033010112031300
53401003012233200
6125220031452120
711252651322330
oct1541704261560
9362870558183
10116216914800
1145318467228
121a634987040
13ac614c300c
1458a6b390c0
153052ccb650
hex1b0f116370

116216914800 has 120 divisors (see below), whose sum is σ = 425464621696. Its totient is φ = 26563864320.

The previous prime is 116216914799. The next prime is 116216914817. The reversal of 116216914800 is 8419612611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6909274 + ... + 6926073.

Almost surely, 2116216914800 is an apocalyptic number.

116216914800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116216914800 is an abundant number, since it is smaller than the sum of its proper divisors (309247706896).

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

116216914800 is a wasteful number, since it uses less digits than its factorization.

116216914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835375 (or 13835364 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 116216914800 in words is "one hundred sixteen billion, two hundred sixteen million, nine hundred fourteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 13835347 27670694 41506041 55341388 69176735 83012082 96847429 110682776 138353470 166024164 193694858 207530205 221365552 276706940 290542287 332048328 345883675 387389716 415060410 484237145 553413880 581084574 664096656 691767350 774779432 830120820 968474290 1037651025 1106827760 1162169148 1383534700 1452711435 1549558864 1660241640 1936948580 2075302050 2324338296 2421185725 2767069400 2905422870 3320483280 3873897160 4150604100 4648676592 4842371450 5534138800 5810845740 7263557175 7747794320 8301208200 9684742900 11621691480 14527114350 16602416400 19369485800 23243382960 29054228700 38738971600 58108457400 116216914800