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66157344 = 2533116961
BaseRepresentation
bin1111110001011…
…1101100100000
311121111010211000
43330113230200
5113414013334
610321552000
71432220361
oct374275440
9147433730
1066157344
1134386aa0
121a1a5600
1310924776
148b01b68
155c1c299
hex3f17b20

66157344 has 96 divisors (see below), whose sum is σ = 210530880. Its totient is φ = 20044800.

The previous prime is 66157339. The next prime is 66157363. The reversal of 66157344 is 44375166.

It is a happy number.

66157344 is a `hidden beast` number, since 6 + 615 + 7 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66157299 and 66157308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6024 + ... + 12984.

It is an arithmetic number, because the mean of its divisors is an integer number (2193030).

Almost surely, 266157344 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 66157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105265440).

66157344 is an abundant number, since it is smaller than the sum of its proper divisors (144373536).

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

66157344 is a wasteful number, since it uses less digits than its factorization.

66157344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6977 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 66157344 is about 8133.7164937069. The cubic root of 66157344 is about 404.4448910710. Note that the first 3 decimals are identical.

The spelling of 66157344 in words is "sixty-six million, one hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 6961 9504 13922 20883 27844 41766 55688 62649 76571 83532 111376 125298 153142 167064 187947 222752 229713 250596 306284 334128 375894 459426 501192 612568 668256 689139 751788 918852 1002384 1225136 1378278 1503576 1837704 2004768 2067417 2450272 2756556 3007152 3675408 4134834 5513112 6014304 7350816 8269668 11026224 16539336 22052448 33078672 66157344