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67816493056 = 2121323132
BaseRepresentation
bin111111001010001011…
…011001000000000000
320111001020200210110001
4333022023121000000
52102342010234211
651053210445344
74620361452124
oct771213310000
9214036623401
1067816493056
1126840707a84
1211187733854
136519c6c100
1433d4a2d584
151b6daa0ac1
hexfca2d9000

67816493056 has 117 divisors (see below), whose sum is σ = 147321597699. Its totient is φ = 31199920128.

The previous prime is 67816493053. The next prime is 67816493077. The reversal of 67816493056 is 65039461876.

The square root of 67816493056 is 260416.

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 53645971456 + 14170521600 = 231616^2 + 119040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67816492988 and 67816493006.

It is not an unprimeable number, because it can be changed into a prime (67816493053) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216665956 + ... + 216666268.

Almost surely, 267816493056 is an apocalyptic number.

67816493056 is the 260416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67816493056

67816493056 is an abundant number, since it is smaller than the sum of its proper divisors (79505104643).

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

67816493056 is an frugal number, since it uses more digits than its factorization.

67816493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 67816493056 in words is "sixty-seven billion, eight hundred sixteen million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 313 338 416 512 626 676 832 1024 1252 1352 1664 2048 2504 2704 3328 4069 4096 5008 5408 6656 8138 10016 10816 13312 16276 20032 21632 26624 32552 40064 43264 52897 53248 65104 80128 86528 97969 105794 130208 160256 173056 195938 211588 260416 320512 346112 391876 423176 520832 641024 692224 783752 846352 1041664 1273597 1282048 1567504 1692704 2083328 2547194 3135008 3385408 4166656 5094388 6270016 6770816 8333312 10188776 12540032 13541632 16556761 16666624 20377552 25080064 27083264 33113522 40755104 50160128 54166528 66227044 81510208 100320256 108333056 132454088 163020416 200640512 216666112 264908176 326040832 401281024 529816352 652081664 1059632704 1304163328 2119265408 2608326656 4238530816 5216653312 8477061632 16954123264 33908246528 67816493056