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68442931456 = 288321972
BaseRepresentation
bin111111101111100001…
…000100000100000000
320112122220110011101021
4333233201010010000
52110132342301311
651235305315224
74642036214134
oct775741040400
9215586404337
1068442931456
1127032283469
1211321495b14
1365b9993813
143453cd93c4
151ba8a92171
hexfef844100

68442931456 has 81 divisors (see below), whose sum is σ = 138989859421. Its totient is φ = 33637538816.

The previous prime is 68442931451. The next prime is 68442931463. The reversal of 68442931456 is 65413924486.

The square root of 68442931456 is 261616.

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

It can be written as a sum of positive squares in only one way, i.e., 67060281600 + 1382649856 = 258960^2 + 37184^2 .

It is a Duffinian number.

Its product of digits (4976640) is a multiple of the sum of its prime factors (576).

It is not an unprimeable number, because it can be changed into a prime (68442931451) 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, 347425950 + ... + 347426146.

Almost surely, 268442931456 is an apocalyptic number.

68442931456 is the 261616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68442931456

68442931456 is an abundant number, since it is smaller than the sum of its proper divisors (70546927965).

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

68442931456 is an frugal number, since it uses more digits than its factorization.

68442931456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 282 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 68442931456 in words is "sixty-eight billion, four hundred forty-two million, nine hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 197 256 332 394 664 788 1328 1576 2656 3152 5312 6304 6889 10624 12608 13778 16351 21248 25216 27556 32702 38809 50432 55112 65404 77618 110224 130808 155236 220448 261616 310472 440896 523232 620944 881792 1046464 1241888 1357133 1763584 2092928 2483776 2714266 3221147 4185856 4967552 5428532 6442294 9935104 10857064 12884588 21714128 25769176 43428256 51538352 86856512 103076704 173713024 206153408 267355201 347426048 412306816 534710402 824613632 1069420804 2138841608 4277683216 8555366432 17110732864 34221465728 68442931456