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645252252546 = 2311291272654507
BaseRepresentation
bin10010110001111000000…
…10000000001110000010
32021200111201221122222210
421120330002000032002
541032434034040141
61212231431042550
764421644436316
oct11307402001602
92250451848883
10645252252546
11229717090720
12a5079810456
1348b01bbc3c5
1423332217b46
1511bb79d7916
hex963c080382

645252252546 has 64 divisors (see below), whose sum is σ = 1467836743680. Its totient is φ = 187301943360.

The previous prime is 645252252539. The next prime is 645252252551.

645252252546 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 645252252495 and 645252252504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084176 + ... + 1570331.

It is an arithmetic number, because the mean of its divisors is an integer number (22934949120).

Almost surely, 2645252252546 is an apocalyptic number.

645252252546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

645252252546 is an abundant number, since it is smaller than the sum of its proper divisors (822584491134).

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

645252252546 is a wasteful number, since it uses less digits than its factorization.

645252252546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654679.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 645252 and 252546, that added together give a palindrome (897798).

The spelling of 645252252546 in words is "six hundred forty-five billion, two hundred fifty-two million, two hundred fifty-two thousand, five hundred forty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 127 174 254 319 381 638 762 957 1397 1914 2794 3683 4191 7366 8382 11049 22098 40513 81026 121539 243078 2654507 5309014 7963521 15927042 29199577 58399154 76980703 87598731 153961406 175197462 230942109 337122389 461884218 674244778 846787733 1011367167 1693575466 2022734334 2540363199 3708346279 5080726398 7416692558 9776549281 11125038837 19553098562 22250077674 29329647843 58659295686 107542042091 215084084182 322626126273 645252252546