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420454103520 = 25351179631459
BaseRepresentation
bin1100001111001010000…
…01000111100111100000
31111012021011120111011110
412013211001013213200
523342042222303040
6521053130343320
742243146624613
oct6074501074740
91435234514143
10420454103520
1115234a420090
12695a128ab40
133085811b689
14164c88d417a
15ae0c463980
hex61e50479e0

420454103520 has 96 divisors (see below), whose sum is σ = 1444833210240. Its totient is φ = 101928266240.

The previous prime is 420454103513. The next prime is 420454103543. The reversal of 420454103520 is 25301454024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 39810450 + ... + 39821009.

It is an arithmetic number, because the mean of its divisors is an integer number (15050345940).

Almost surely, 2420454103520 is an apocalyptic number.

420454103520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420454103520 is an abundant number, since it is smaller than the sum of its proper divisors (1024379106720).

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

420454103520 is a wasteful number, since it uses less digits than its factorization.

420454103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79631488 (or 79631480 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 420454103520 its reverse (25301454024), we get a palindrome (445755557544).

The spelling of 420454103520 in words is "four hundred twenty billion, four hundred fifty-four million, one hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 79631459 159262918 238894377 318525836 398157295 477788754 637051672 796314590 875946049 955577508 1194471885 1274103344 1592629180 1751892098 1911155016 2388943770 2548206688 2627838147 3185258360 3503784196 3822310032 4379730245 4777887540 5255676294 6370516720 7007568392 7644620064 8759460490 9555775080 10511352588 12741033440 13139190735 14015136784 17518920980 19111550160 21022705176 26278381470 28030273568 35037841960 38223100320 42045410352 52556762940 70075683920 84090820704 105113525880 140151367840 210227051760 420454103520