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66117456 = 24322319963
BaseRepresentation
bin1111110000110…
…1111101010000
311121102010002200
43330031331100
5113411224311
610321043200
71431663156
oct374157520
9147363080
1066117456
113435a029
121a186500
131090c572
148ad13d6
155c10556
hex3f0df50

66117456 has 60 divisors (see below), whose sum is σ = 193091808. Its totient is φ = 21079872.

The previous prime is 66117427. The next prime is 66117463. The reversal of 66117456 is 65471166.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66117456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6670 + ... + 13293.

Almost surely, 266117456 is an apocalyptic number.

It is an amenable number.

66117456 is an abundant number, since it is smaller than the sum of its proper divisors (126974352).

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

66117456 is a wasteful number, since it uses less digits than its factorization.

66117456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000 (or 19991 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 66117456 is about 8131.2641083659. The cubic root of 66117456 is about 404.3635912477.

The spelling of 66117456 in words is "sixty-six million, one hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 19963 39926 59889 79852 119778 159704 179667 239556 319408 359334 459149 479112 718668 918298 958224 1377447 1437336 1836596 2754894 2874672 3673192 4132341 5509788 7346384 8264682 11019576 16529364 22039152 33058728 66117456