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645400143424 = 2613727332
BaseRepresentation
bin10010110010001001101…
…10001010011001000000
32021200220001020022010201
421121010312022121000
541033234414042144
61212254232534544
764425421463131
oct11310466123100
92250801208121
10645400143424
11229792612293
12a50bb251454
1348b267302ba
1423347b13c88
1511bc599c1d4
hex9644d8a640

645400143424 has 63 divisors (see below), whose sum is σ = 1291894909347. Its totient is φ = 319907564544.

The previous prime is 645400143383. The next prime is 645400143473. The reversal of 645400143424 is 424341004546.

The square root of 645400143424 is 803368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 284054889024 + 361345254400 = 532968^2 + 601120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 880490962 + ... + 880491694.

Almost surely, 2645400143424 is an apocalyptic number.

645400143424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

645400143424 is the 803368-th square number.

It is an amenable number.

645400143424 is an abundant number, since it is smaller than the sum of its proper divisors (646494765923).

645400143424 is an frugal number, since it uses more digits than its factorization.

645400143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 645400143424 in words is "six hundred forty-five billion, four hundred million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 137 274 548 733 1096 1466 2192 2932 4384 5864 8768 11728 18769 23456 37538 46912 75076 100421 150152 200842 300304 401684 537289 600608 803368 1074578 1201216 1606736 2149156 3213472 4298312 6426944 8596624 13757677 17193248 27515354 34386496 55030708 73608593 110061416 147217186 220122832 294434372 440245664 588868744 880491328 1177737488 2355474976 4710949952 10084377241 20168754482 40337508964 80675017928 161350035856 322700071712 645400143424