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245334433542 = 231123759154799
BaseRepresentation
bin1110010001111100010…
…0100101111100000110
3212110020210000112010120
43210133010211330012
513004421103333132
6304412144202410
723503421164122
oct3443704457406
9773223015116
10245334433542
119505598a100
123b66a009406
131a19a5c6093
14bc34d28582
1565ad42402c
hex391f125f06

245334433542 has 96 divisors (see below), whose sum is σ = 563298624000. Its totient is φ = 71108009280.

The previous prime is 245334433529. The next prime is 245334433543.

245334433542 is nontrivially palindromic in base 10.

245334433542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245334433494 and 245334433503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245334433543) 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 47 ways as a sum of consecutive naturals, for example, 1507459 + ... + 1662257.

It is an arithmetic number, because the mean of its divisors is an integer number (5867694000).

Almost surely, 2245334433542 is an apocalyptic number.

245334433542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245334433542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281649312000).

245334433542 is an abundant number, since it is smaller than the sum of its proper divisors (317964190458).

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

245334433542 is a wasteful number, since it uses less digits than its factorization.

245334433542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154922 (or 154911 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 245334 and 433542, that added together give a palindrome (678876).

The spelling of 245334433542 in words is "two hundred forty-five billion, three hundred thirty-four million, four hundred thirty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 59 66 74 111 118 121 177 222 242 354 363 407 649 726 814 1221 1298 1947 2183 2442 3894 4366 4477 6549 7139 8954 13098 13431 14278 21417 24013 26862 42834 48026 72039 144078 154799 264143 309598 464397 528286 792429 928794 1584858 1702789 3405578 5108367 5727563 9133141 10216734 11455126 17182689 18266282 18730679 27399423 34365378 37461358 54798846 56192037 63003193 100464551 112384074 126006386 189009579 200929102 301393653 337926217 378019158 602787306 675852434 693035123 1013778651 1105110061 1386070246 2027557302 2079105369 2210220122 3315330183 3717188387 4158210738 6630660366 7434376774 11151565161 22303130322 40889072257 81778144514 122667216771 245334433542