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661691916 = 22351374969
BaseRepresentation
bin100111011100001…
…001111000001100
31201010002102200000
4213130021320030
52323343120131
6145354204300
722253200644
oct4734117014
91633072600
10661691916
1130a564a26
12165723690
13a71189a2
1463c45524
153d156ce6
hex27709e0c

661691916 has 72 divisors (see below), whose sum is σ = 1747571280. Its totient is φ = 218909952.

The previous prime is 661691911. The next prime is 661691917. The reversal of 661691916 is 619196166.

661691916 is a `hidden beast` number, since 6 + 616 + 9 + 19 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (661691911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130680 + ... + 135648.

Almost surely, 2661691916 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 661691916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873785640).

661691916 is an abundant number, since it is smaller than the sum of its proper divisors (1085879364).

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

661691916 is a wasteful number, since it uses less digits than its factorization.

661691916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5111 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 661691916 is about 25723.3729514619. The cubic root of 661691916 is about 871.4021148441.

The spelling of 661691916 in words is "six hundred sixty-one million, six hundred ninety-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 324 411 486 548 822 972 1233 1644 2466 3699 4932 4969 7398 9938 11097 14796 14907 19876 22194 29814 33291 44388 44721 59628 66582 89442 133164 134163 178884 268326 402489 536652 680753 804978 1207467 1361506 1609956 2042259 2414934 2723012 4084518 4829868 6126777 8169036 12253554 18380331 24507108 36760662 55140993 73521324 110281986 165422979 220563972 330845958 661691916