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16997842400 = 2552711275939
BaseRepresentation
bin11111101010010011…
…00111110111100000
31121212121102212020112
433311021213313200
5234302421424100
611450402430452
71141136163560
oct176511476740
947777385215
1016997842400
117232925640
123364662428
1317ab719316
14b736bada0
156973ecb35
hex3f5267de0

16997842400 has 144 divisors (see below), whose sum is σ = 51735438720. Its totient is φ = 5298009600.

The previous prime is 16997842397. The next prime is 16997842427. The reversal of 16997842400 is 424879961.

It is a super-3 number, since 3×169978424003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76370 + ... + 199569.

It is an arithmetic number, because the mean of its divisors is an integer number (359273880).

Almost surely, 216997842400 is an apocalyptic number.

16997842400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16997842400 is an abundant number, since it is smaller than the sum of its proper divisors (34737596320).

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

16997842400 is a wasteful number, since it uses less digits than its factorization.

16997842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275977 (or 275964 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 16997842400 in words is "sixteen billion, nine hundred ninety-seven million, eight hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2200 2464 2800 3080 3850 4400 5600 6160 7700 8800 12320 15400 30800 61600 275939 551878 1103756 1379695 1931573 2207512 2759390 3035329 3863146 4415024 5518780 6070658 6898475 7726292 8830048 9657865 11037560 12141316 13796950 15176645 15452584 19315730 21247303 22075120 24282632 27593900 30353290 30905168 38631460 42494606 44150240 48289325 48565264 55187800 60706580 61810336 75883225 77262920 84989212 96578650 97130528 106236515 110375600 121413160 151766450 154525840 169978424 193157300 212473030 220751200 242826320 303532900 309051680 339956848 386314600 424946060 485652640 531182575 607065800 679913696 772629200 849892120 1062365150 1214131600 1545258400 1699784240 2124730300 2428263200 3399568480 4249460600 8498921200 16997842400