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42814645225803 = 32116710915916401
BaseRepresentation
bin10011011110000100011111…
…01110000100100101001011
312121121001002020111011020200
421233002033232010211023
521102433343134211203
6231020435415423243
712006153551523123
oct1157021756044513
9177531066434220
1042814645225803
1112707653066550
124975922084b23
131ab7532c89289
14a80350363c83
154e3a91ac29a3
hex26f08fb8494b

42814645225803 has 48 divisors (see below), whose sum is σ = 68535222118272. Its totient is φ = 25537548960000.

The previous prime is 42814645225801. The next prime is 42814645225819. The reversal of 42814645225803 is 30852254641824.

42814645225803 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 4 + 6 + 4 + 52 + 2 + 580 + 3 = 666.

42814645225803 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42814645225803 - 21 = 42814645225801 is a prime.

It is a super-2 number, since 2×428146452258032 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42814645225803.

It is not an unprimeable number, because it can be changed into a prime (42814645225801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4278403 + ... + 10194803.

It is an arithmetic number, because the mean of its divisors is an integer number (1427817127464).

Almost surely, 242814645225803 is an apocalyptic number.

42814645225803 is a deficient number, since it is larger than the sum of its proper divisors (25720576892469).

42814645225803 is a wasteful number, since it uses less digits than its factorization.

42814645225803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917576 (or 5917573 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 42814645225803 in words is "forty-two trillion, eight hundred fourteen billion, six hundred forty-five million, two hundred twenty-five thousand, eight hundred three".

Divisors: 1 3 9 11 33 67 99 201 603 737 1091 2211 3273 6633 9819 12001 36003 73097 108009 219291 657873 804067 2412201 5916401 7236603 17749203 53247609 65080411 195241233 396398867 585723699 1189196601 3567589803 4360387537 6454793491 13081162611 19364380473 39243487833 58093141419 71002728401 213008185203 432471163897 639024555609 1297413491691 3892240475073 4757182802867 14271548408601 42814645225803