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2420200444064 = 251313742465617
BaseRepresentation
bin100011001101111111001…
…100000001000010100000
322120100221221010002202212
4203031333030001002200
5304123032303202224
65051454050501252
7336565552230014
oct43157714010240
98510857102685
102420200444064
11853446068857
12331074294828
131472bac5b7a0
14851d17d4544
1542e4d037d0e
hex2337f3010a0

2420200444064 has 48 divisors (see below), whose sum is σ = 5168745160488. Its totient is φ = 1108862164992.

The previous prime is 2420200444033. The next prime is 2420200444069. The reversal of 2420200444064 is 4604440020242.

It can be written as a sum of positive squares in 4 ways, for example, as 1042253144464 + 1377947299600 = 1020908^2 + 1173860^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2420200444064.

It is not an unprimeable number, because it can be changed into a prime (2420200444069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21175817 + ... + 21289800.

Almost surely, 22420200444064 is an apocalyptic number.

It is an amenable number.

2420200444064 is an abundant number, since it is smaller than the sum of its proper divisors (2748544716424).

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

2420200444064 is a wasteful number, since it uses less digits than its factorization.

2420200444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42465777 (or 42465769 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 2420200444064 in words is "two trillion, four hundred twenty billion, two hundred million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1781 2192 3562 4384 7124 14248 28496 56992 42465617 84931234 169862468 339724936 552053021 679449872 1104106042 1358899744 2208212084 4416424168 5817789529 8832848336 11635579058 17665696672 23271158116 46542316232 75631263877 93084632464 151262527754 186169264928 302525055508 605050111016 1210100222032 2420200444064