Search a number
-
+
420690964820320 = 25541155209413183
BaseRepresentation
bin101111110100111011011111…
…1100001001011000101100000
32001011112122220122221100002001
41133221312333201023011200
5420120100043443222240
64050422432231133344
7154416630200016115
oct13751667741130540
92034478818840061
10420690964820320
11112055044283087
123b224888b14254
1315097cac15194c
1475c57a0c3890c
15339820dc4189a
hex17e9dbf84b160

420690964820320 has 96 divisors (see below), whose sum is σ = 1018132462448640. Its totient is φ = 164170628751360.

The previous prime is 420690964820257. The next prime is 420690964820327. The reversal of 420690964820320 is 23028469096024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420690964820327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017964449 + ... + 1018377631.

It is an arithmetic number, because the mean of its divisors is an integer number (10605546483840).

Almost surely, 2420690964820320 is an apocalyptic number.

420690964820320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420690964820320 is an abundant number, since it is smaller than the sum of its proper divisors (597441497628320).

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

420690964820320 is a wasteful number, since it uses less digits than its factorization.

420690964820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568448 (or 568440 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 420690964820320 in words is "four hundred twenty trillion, six hundred ninety billion, nine hundred sixty-four million, eight hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 155209 310418 413183 620836 776045 826366 1241672 1552090 1652732 2065915 2483344 3104180 3305464 4131830 4966688 6208360 6363569 6610928 8263660 12416720 12727138 13221856 16527320 16940503 24833440 25454276 31817845 33054640 33881006 50908552 63635690 66109280 67762012 84702515 101817104 127271380 135524024 169405030 203634208 254542760 271048048 338810060 509085520 542096096 677620120 1018171040 1355240240 2710480480 64129720247 128259440494 256518880988 320648601235 513037761976 641297202470 1026075523952 1282594404940 2052151047904 2565188809880 2629318530127 5130377619760 5258637060254 10260755239520 10517274120508 13146592650635 21034548241016 26293185301270 42069096482032 52586370602540 84138192964064 105172741205080 210345482410160 420690964820320