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4042664224600 = 235285740275857
BaseRepresentation
bin111010110101000001100…
…100001010011101011000
3112022110211012221212111211
4322311001210022131120
51012213334020141400
612333101352232504
7565033662635431
oct72650144123530
915273735855454
104042664224600
111319536621021
125535b409b734
132342b5b19a51
14dd9476aa488
157025b80bdba
hex3ad4190a758

4042664224600 has 96 divisors (see below), whose sum is σ = 9414105695280. Its totient is φ = 1614502010880.

The previous prime is 4042664224541. The next prime is 4042664224601. The reversal of 4042664224600 is 64224662404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042664224601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690224872 + ... + 690230728.

Almost surely, 24042664224600 is an apocalyptic number.

4042664224600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042664224600 is an abundant number, since it is smaller than the sum of its proper divisors (5371441470680).

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

4042664224600 is a wasteful number, since it uses less digits than its factorization.

4042664224600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 4042664224600 in words is "four trillion, forty-two billion, six hundred sixty-four million, two hundred twenty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 857 1714 3428 4027 4285 5857 6856 8054 8570 11714 16108 17140 20135 21425 23428 29285 32216 34280 40270 42850 46856 58570 80540 85700 100675 117140 146425 161080 171400 201350 234280 292850 402700 585700 805400 1171400 3451139 5019449 6902278 10038898 13804556 17255695 20077796 23586139 25097245 27609112 34511390 40155592 47172278 50194490 69022780 86278475 94344556 100388980 117930695 125486225 138045560 172556950 188689112 200777960 235861390 250972450 345113900 471722780 501944900 589653475 690227800 943445560 1003889800 1179306950 2358613900 4717227800 20213321123 40426642246 80853284492 101066605615 161706568984 202133211230 404266422460 505333028075 808532844920 1010666056150 2021332112300 4042664224600