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67080292720 = 24571013118249
BaseRepresentation
bin111110011110010011…
…000000100101110000
320102010221101221102221
4332132103000211300
52044340023331340
650452151250424
74563212036350
oct763623004560
9212127357387
1067080292720
11264a3092851
1211001079a14
1364305967cc
143364d50b60
151b2912c44a
hexf9e4c0970

67080292720 has 80 divisors (see below), whose sum is σ = 178419384000. Its totient is φ = 22976059392.

The previous prime is 67080292709. The next prime is 67080292729. The reversal of 67080292720 is 2729208076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67080292729) 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, 508156 + ... + 626404.

It is an arithmetic number, because the mean of its divisors is an integer number (2230242300).

Almost surely, 267080292720 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 67080292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89209692000).

67080292720 is an abundant number, since it is smaller than the sum of its proper divisors (111339091280).

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

67080292720 is a wasteful number, since it uses less digits than its factorization.

67080292720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119282 (or 119276 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 67080292720 in words is "sixty-seven billion, eighty million, two hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1013 2026 4052 5065 7091 8104 10130 14182 16208 20260 28364 35455 40520 56728 70910 81040 113456 118249 141820 236498 283640 472996 567280 591245 827743 945992 1182490 1655486 1891984 2364980 3310972 4138715 4729960 6621944 8277430 9459920 13243888 16554860 33109720 66219440 119786237 239572474 479144948 598931185 838503659 958289896 1197862370 1677007318 1916579792 2395724740 3354014636 4192518295 4791449480 6708029272 8385036590 9582898960 13416058544 16770073180 33540146360 67080292720