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68067377968 = 2423237217351
BaseRepresentation
bin111111011001001000…
…011100001100110000
320111200201210001211211
4333121020130030300
52103400222043333
651134132045504
74626526111042
oct773110341460
9214621701754
1068067377968
112695a295587
1211237763894
136559c31515
14341a099a92
151b85b0becd
hexfd921c330

68067377968 has 60 divisors (see below), whose sum is σ = 141590482768. Its totient is φ = 31673980800.

The previous prime is 68067377947. The next prime is 68067377969. The reversal of 68067377968 is 86977376086.

It is not an unprimeable number, because it can be changed into a prime (68067377969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204493 + ... + 421843.

Almost surely, 268067377968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68067377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70795241384).

68067377968 is an abundant number, since it is smaller than the sum of its proper divisors (73523104800).

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

68067377968 is a wasteful number, since it uses less digits than its factorization.

68067377968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217442 (or 217413 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 67.

It can be divided in two parts, 680673 and 77968, that added together give a square (758641 = 8712).

The spelling of 68067377968 in words is "sixty-eight billion, sixty-seven million, three hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 529 592 851 1058 1702 2116 3404 4232 6808 8464 13616 19573 39146 78292 156584 217351 313168 434702 869404 1738808 3477616 4999073 8041987 9998146 16083974 19996292 32167948 39992584 64335896 79985168 114978679 128671792 184965701 229957358 369931402 459914716 739862804 919829432 1479725608 1839658864 2959451216 4254211123 8508422246 17016844492 34033688984 68067377968