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800548930756 = 2237210721132
BaseRepresentation
bin10111010011001000110…
…11110100010011000100
32211112100122001022102101
423221210123310103010
5101104011011241011
61411433405521444
7111560230431151
oct13514433642304
92745318038371
10800548930756
11289569001583
1210b19a273284
135a650904283
142aa65217228
1515c565c32c1
hexba646f44c4

800548930756 has 81 divisors (see below), whose sum is σ = 1466406096519. Its totient is φ = 382402153728.

The previous prime is 800548930739. The next prime is 800548930781. The reversal of 800548930756 is 657039845008.

The square root of 800548930756 is 894734.

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 30718170756 + 769830760000 = 175266^2 + 877400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800548930697 and 800548930706.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7084503756 + ... + 7084503868.

Almost surely, 2800548930756 is an apocalyptic number.

800548930756 is the 894734-th square number.

It is an amenable number.

800548930756 is a deficient number, since it is larger than the sum of its proper divisors (665857165763).

800548930756 is a wasteful number, since it uses less digits than its factorization.

800548930756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 800548930756 in words is "eight hundred billion, five hundred forty-eight million, nine hundred thirty thousand, seven hundred fifty-six".

Divisors: 1 2 4 37 74 107 113 148 214 226 428 452 1369 2738 3959 4181 5476 7918 8362 11449 12091 12769 15836 16724 22898 24182 25538 45796 48364 51076 146483 154697 292966 309394 423613 447367 472453 585932 618788 847226 894734 944906 1293737 1366283 1694452 1789468 1889812 2587474 2732566 5174948 5465132 15673681 16552579 17480761 31347362 33105158 34961522 47868269 50552471 62694724 66210316 69923044 95736538 101104942 146192281 191473076 202209884 292384562 584769124 1771125953 1870441427 3542251906 3740882854 5409114397 7084503812 7481765708 10818228794 21636457588 200137232689 400274465378 800548930756