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648719240731056 = 243211409544975209
BaseRepresentation
bin1001001110000000011011011…
…1111001110001100110110000
310011001220221202021112101200200
42103200012313321301212300
51140012104001111343211
610215413301025515200
7253433263351561455
oct22340066771614660
93131827667471620
10648719240731056
1117877a315353970
12609121751a2b00
1321ac8c6741b721
14b62a27080b82c
154eeea22194b56
hex24e01b7e719b0

648719240731056 has 60 divisors (see below), whose sum is σ = 1980559500115560. Its totient is φ = 196581588099840.

The previous prime is 648719240731031. The next prime is 648719240731073. The reversal of 648719240731056 is 650137042917846.

648719240731056 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 192 + 407 + 31 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 648719240730984 and 648719240731002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204772486021 + ... + 204772489188.

It is an arithmetic number, because the mean of its divisors is an integer number (33009325001926).

It is a 1-persistent number, because it is pandigital, but 2⋅648719240731056 = 1297438481462112 is not.

Almost surely, 2648719240731056 is an apocalyptic number.

648719240731056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

648719240731056 is an abundant number, since it is smaller than the sum of its proper divisors (1331840259384504).

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

648719240731056 is a wasteful number, since it uses less digits than its factorization.

648719240731056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409544975234 (or 409544975225 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 648719240731056 in words is "six hundred forty-eight trillion, seven hundred nineteen billion, two hundred forty million, seven hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 409544975209 819089950418 1228634925627 1638179900836 2457269851254 3276359801672 3685904776881 4504994727299 4914539702508 6552719603344 7371809553762 9009989454598 9829079405016 13514984181897 14743619107524 18019978909196 19658158810032 27029968363794 29487238215048 36039957818392 40544952545691 54059936727588 58974476430096 72079915636784 81089905091382 108119873455176 162179810182764 216239746910352 324359620365528 648719240731056