Search a number
-
+
66146731840 = 2657103286697
BaseRepresentation
bin111101100110101001…
…110000011101000000
320022201212202010200001
4331212221300131000
52040432030404330
650215402005344
74531114641460
oct754651603500
9208655663601
1066146731840
1126064118732
12109a04a6854
13631204c417
1432b6d79ba0
151ac21c19ca
hexf66a70740

66146731840 has 112 divisors (see below), whose sum is σ = 181761944832. Its totient is φ = 22458617856.

The previous prime is 66146731829. The next prime is 66146731883. The reversal of 66146731840 is 4813764166.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×661467318402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87372 + ... + 374068.

Almost surely, 266146731840 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 66146731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90880972416).

66146731840 is an abundant number, since it is smaller than the sum of its proper divisors (115615212992).

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

66146731840 is a wasteful number, since it uses less digits than its factorization.

66146731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286824 (or 286814 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 66146731840 in words is "sixty-six billion, one hundred forty-six million, seven hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 103 112 140 160 206 224 280 320 412 448 515 560 721 824 1030 1120 1442 1648 2060 2240 2884 3296 3605 4120 5768 6592 7210 8240 11536 14420 16480 23072 28840 32960 46144 57680 115360 230720 286697 573394 1146788 1433485 2006879 2293576 2866970 4013758 4587152 5733940 8027516 9174304 10034395 11467880 16055032 18348608 20068790 22935760 29529791 32110064 40137580 45871520 59059582 64220128 80275160 91743040 118119164 128440256 147648955 160550320 206708537 236238328 295297910 321100640 413417074 472476656 590595820 642201280 826834148 944953312 1033542685 1181191640 1653668296 1889906624 2067085370 2362383280 3307336592 4134170740 4724766560 6614673184 8268341480 9449533120 13229346368 16536682960 33073365920 66146731840