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66001006160 = 2454348739397
BaseRepresentation
bin111101011101111101…
…110110111001010000
320022100201112111121122
4331131331312321100
52040132224144120
650153114341412
74524365203325
oct753575667120
9208321474548
1066001006160
1125a99935891
121095b72a868
1362baab8bcb
1432a1884b4c
151ab44d8a25
hexf5df76e50

66001006160 has 80 divisors (see below), whose sum is σ = 157347417216. Its totient is φ = 25732836864.

The previous prime is 66001006157. The next prime is 66001006189. The reversal of 66001006160 is 6160010066.

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

It is a super-2 number, since 2×660010061602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655582 + ... + 1694978.

Almost surely, 266001006160 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 66001006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78673708608).

66001006160 is an abundant number, since it is smaller than the sum of its proper divisors (91346411056).

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

66001006160 is a wasteful number, since it uses less digits than its factorization.

66001006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39940 (or 39934 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 66001006160 in words is "sixty-six billion, one million, six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 487 688 860 974 1720 1948 2435 3440 3896 4870 7792 9740 19480 20941 38960 39397 41882 78794 83764 104705 157588 167528 196985 209410 315176 335056 393970 418820 630352 787940 837640 1575880 1675280 1694071 3151760 3388142 6776284 8470355 13552568 16940710 19186339 27105136 33881420 38372678 67762840 76745356 95931695 135525680 153490712 191863390 306981424 383726780 767453560 825012577 1534907120 1650025154 3300050308 4125062885 6600100616 8250125770 13200201232 16500251540 33000503080 66001006160