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645414414546 = 231121515887421
BaseRepresentation
bin10010110010001011011…
…00100110100011010010
32021200221001002100102210
421121011230212203102
541033302042231141
61212255502452550
764425654001656
oct11310554464322
92250831070383
10645414414546
1122979a67a400
12a5103b94156
1348b29688c55
142334998aa66
1511bc6d6a916
hex9645b268d2

645414414546 has 48 divisors (see below), whose sum is σ = 1428241477824. Its totient is φ = 194284860000.

The previous prime is 645414414511. The next prime is 645414414563.

645414414546 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6454144145462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 645414414495 and 645414414504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2834085 + ... + 3053336.

It is an arithmetic number, because the mean of its divisors is an integer number (29755030788).

Almost surely, 2645414414546 is an apocalyptic number.

645414414546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

645414414546 is an abundant number, since it is smaller than the sum of its proper divisors (782827063278).

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

645414414546 is a wasteful number, since it uses less digits than its factorization.

645414414546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887599 (or 5887588 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 645414414546 in words is "six hundred forty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 151 242 302 363 453 726 906 1661 3322 4983 9966 18271 36542 54813 109626 5887421 11774842 17662263 35324526 64761631 129523262 194284893 388569786 712377941 889000571 1424755882 1778001142 2137133823 2667001713 4274267646 5334003426 9779006281 19558012562 29337018843 58674037686 107569069091 215138138182 322707207273 645414414546