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420829898911320 = 2335172011191025707
BaseRepresentation
bin101111110101111100001100…
…0101000101010111001011000
32001012000221112012221102120010
41133223320120220222321120
5420124334113110130240
64051010330415001520
7154432646126220033
oct13753703050527130
92035027465842503
10420829898911320
111120a8a59a16a98
123b2477a18092a0
13150a8120c3b052
1475cc3c0a8001a
15339bb410b3280
hex17ebe18a2ae58

420829898911320 has 128 divisors (see below), whose sum is σ = 1336761746380800. Its totient is φ = 105619424925696.

The previous prime is 420829898911291. The next prime is 420829898911339. The reversal of 420829898911320 is 23119898928024.

It is a Cunningham number, because it is equal to 205141392-1.

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, 409769907 + ... + 410795613.

It is an arithmetic number, because the mean of its divisors is an integer number (10443451143600).

Almost surely, 2420829898911320 is an apocalyptic number.

420829898911320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420829898911320 is an abundant number, since it is smaller than the sum of its proper divisors (915931847469480).

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

420829898911320 is a wasteful number, since it uses less digits than its factorization.

420829898911320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226857 (or 1226853 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 420829898911320 in words is "four hundred twenty trillion, eight hundred twenty-nine billion, eight hundred ninety-eight million, nine hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 201119 402238 603357 804476 1005595 1025707 1206714 1608952 2011190 2051414 2413428 3016785 3077121 3419023 4022380 4102828 4826856 5128535 6033570 6154242 6838046 8044760 8205656 10257069 10257070 12067140 12308484 13676092 15385605 17095115 17437019 20514138 20514140 24134280 24616968 27352184 30771210 34190230 34874038 41028276 41028280 51285345 52311057 61542420 68380460 69748076 82056552 87185095 102570690 104622114 123084840 136760920 139496152 174370190 205141380 209244228 261555285 348740380 410282760 418488456 523110570 697480760 1046221140 2092442280 206289166133 412578332266 618867498399 825156664532 1031445830665 1237734996798 1650313329064 2062891661330 2475469993596 3094337491995 3506915824261 4125783322660 4950939987192 6188674983990 7013831648522 8251566645320 10520747472783 12377349967980 14027663297044 17534579121305 21041494945566 24754699935960 28055326594088 35069158242610 42082989891132 52603737363915 70138316485220 84165979782264 105207474727830 140276632970440 210414949455660 420829898911320