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68736254976 = 2103227312
BaseRepresentation
bin100000000000100000…
…0000000010000000000
320120102100101112121100
41000001000000100000
52111232440124401
651324344254400
74652230345554
oct1000100002000
9216370345540
1068736254976
11271729077a4
12113a3771400
13663569472c
143480c51864
151bc46d2b86
hex1001000400

68736254976 has 99 divisors (see below), whose sum is σ = 198547145823. Its totient is φ = 22903695360.

The previous prime is 68736254971. The next prime is 68736255001. The reversal of 68736254976 is 67945263786.

The square root of 68736254976 is 262176.

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

68736254976 is a `hidden beast` number, since 6 + 87 + 3 + 6 + 2 + 549 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (68736254971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25167531 + ... + 25170261.

Almost surely, 268736254976 is an apocalyptic number.

68736254976 is the 262176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68736254976

68736254976 is an abundant number, since it is smaller than the sum of its proper divisors (129810890847).

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

68736254976 is an frugal number, since it uses more digits than its factorization.

68736254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 2736 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 68736254976 in words is "sixty-eight billion, seven hundred thirty-six million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 2731 3072 4608 5462 8193 9216 10924 16386 21848 24579 32772 43696 49158 65544 87392 98316 131088 174784 196632 262176 349568 393264 524352 699136 786528 1048704 1398272 1573056 2097408 2796544 3146112 4194816 6292224 7458361 8389632 12584448 14916722 22375083 25168896 29833444 44750166 59666888 67125249 89500332 119333776 134250498 179000664 238667552 268500996 358001328 477335104 537001992 716002656 954670208 1074003984 1432005312 1909340416 2148007968 2864010624 3818680832 4296015936 5728021248 7637361664 8592031872 11456042496 17184063744 22912084992 34368127488 68736254976