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66155796 = 223271941337
BaseRepresentation
bin1111110001011…
…1010100010100
311121111001200200
43330113110110
5113413441141
610321540500
71432213020
oct374272424
9147431620
1066155796
1134385913
121a1a4730
1310923b55
148b01380
155c1bab6
hex3f17514

66155796 has 144 divisors (see below), whose sum is σ = 206693760. Its totient is φ = 17418240.

The previous prime is 66155773. The next prime is 66155827. The reversal of 66155796 is 69755166.

66155796 is a `hidden beast` number, since 6 + 6 + 1 + 557 + 96 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196140 + ... + 196476.

Almost surely, 266155796 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 66155796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103346880).

66155796 is an abundant number, since it is smaller than the sum of its proper divisors (140537964).

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

66155796 is a wasteful number, since it uses less digits than its factorization.

66155796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 66155796 is about 8133.6213336988. The cubic root of 66155796 is about 404.4417365430.

The spelling of 66155796 in words is "sixty-six million, one hundred fifty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 41 42 57 63 76 82 84 114 123 126 133 164 171 228 246 252 266 287 337 342 369 399 492 532 574 674 684 738 779 798 861 1011 1148 1197 1348 1476 1558 1596 1722 2022 2337 2359 2394 2583 3033 3116 3444 4044 4674 4718 4788 5166 5453 6066 6403 7011 7077 9348 9436 10332 10906 12132 12806 13817 14022 14154 16359 19209 21231 21812 25612 27634 28044 28308 32718 38418 41451 42462 44821 49077 55268 57627 65436 76836 82902 84924 89642 96719 98154 115254 124353 134463 165804 179284 193438 196308 230508 248706 262523 268926 290157 386876 403389 497412 525046 537852 580314 787569 806778 870471 1050092 1160628 1575138 1613556 1740942 1837661 2362707 3150276 3481884 3675322 4725414 5512983 7350644 9450828 11025966 16538949 22051932 33077898 66155796