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68267024176 = 24132515412417
BaseRepresentation
bin111111100101000010…
…000001111100110000
320112012122110010221211
4333211002001330300
52104302324233201
651210023125504
74634502063001
oct774502017460
9215178403854
1068267024176
1126a51a5674a
12112925a3894
13658c3c3780
1434387c91a8
151b983e6651
hexfe5081f30

68267024176 has 80 divisors (see below), whose sum is σ = 143332888608. Its totient is φ = 31311360000.

The previous prime is 68267024107. The next prime is 68267024179. The reversal of 68267024176 is 67142076286.

It is not an unprimeable number, because it can be changed into a prime (68267024179) 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 15 ways as a sum of consecutive naturals, for example, 28243320 + ... + 28245736.

Almost surely, 268267024176 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 68267024176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71666444304).

68267024176 is an abundant number, since it is smaller than the sum of its proper divisors (75065864432).

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

68267024176 is a wasteful number, since it uses less digits than its factorization.

68267024176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 68267024176 in words is "sixty-eight billion, two hundred sixty-seven million, twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 251 502 541 1004 1082 2008 2164 2417 3263 4016 4328 4834 6526 7033 8656 9668 13052 14066 19336 26104 28132 31421 38672 52208 56264 62842 112528 125684 135791 251368 271582 502736 543164 606667 1086328 1213334 1307597 1765283 2172656 2426668 2615194 3530566 4853336 5230388 7061132 7886671 9706672 10460776 14122264 15773342 16998761 20921552 28244528 31546684 33997522 63093368 67995044 126186736 135990088 271980176 328206847 656413694 1312827388 2625654776 4266689011 5251309552 8533378022 17066756044 34133512088 68267024176