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66612744 = 233211151557
BaseRepresentation
bin1111111000011…
…0111000001000
311122100021111200
43332012320020
5114023101434
610335424200
71436125152
oct376067010
9148307450
1066612744
1134668160
121a385060
1310a53b33
148bbdad2
155cac199
hex3f86e08

66612744 has 96 divisors (see below), whose sum is σ = 198469440. Its totient is φ = 20016000.

The previous prime is 66612737. The next prime is 66612751. The reversal of 66612744 is 44721666.

66612744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66612737) and next prime (66612751).

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 = 66612699 and 66612708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119314 + ... + 119870.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 266612744 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 66612744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99234720).

66612744 is an abundant number, since it is smaller than the sum of its proper divisors (131856696).

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

66612744 is a wasteful number, since it uses less digits than its factorization.

66612744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 66612744 is about 8161.6630658218. The cubic root of 66612744 is about 405.3707806998.

The spelling of 66612744 in words is "sixty-six million, six hundred twelve thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 151 198 264 302 396 453 557 604 792 906 1114 1208 1359 1661 1671 1812 2228 2718 3322 3342 3624 4456 4983 5013 5436 6127 6644 6684 9966 10026 10872 12254 13288 13368 14949 18381 19932 20052 24508 29898 36762 39864 40104 49016 55143 59796 73524 84107 110286 119592 147048 168214 220572 252321 336428 441144 504642 672856 756963 925177 1009284 1513926 1850354 2018568 2775531 3027852 3700708 5551062 6055704 7401416 8326593 11102124 16653186 22204248 33306372 66612744