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107780695074 = 2321313716572029
BaseRepresentation
bin110010001100000111…
…0101110010000100010
3101022012102101121100100
41210120032232100202
53231213324220244
6121302550203230
710533622535463
oct1443016562042
9338172347310
10107780695074
1141789435508
1218a7b653516
13a218799620
14530655cd6a
152c0c365b69
hex19183ae422

107780695074 has 96 divisors (see below), whose sum is σ = 253601777520. Its totient is φ = 32885139456.

The previous prime is 107780695069. The next prime is 107780695091. The reversal of 107780695074 is 470596087701.

107780695074 is a `hidden beast` number, since 1 + 0 + 7 + 78 + 0 + 69 + 507 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65017350225 + 42763344849 = 254985^2 + 206793^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107780695074.

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, 53119092 + ... + 53121120.

Almost surely, 2107780695074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107780695074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126800888760).

107780695074 is an abundant number, since it is smaller than the sum of its proper divisors (145821082446).

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

107780695074 is a wasteful number, since it uses less digits than its factorization.

107780695074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 107780695074 in words is "one hundred seven billion, seven hundred eighty million, six hundred ninety-five thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1657 1781 2029 2466 3314 3562 4058 4971 5343 6087 9942 10686 12174 14913 16029 18261 21541 26377 29826 32058 36522 43082 52754 64623 79131 129246 158262 193869 227009 237393 277973 387738 454018 474786 555946 681027 833919 1362054 1667838 2043081 2501757 2951117 3362053 3613649 4086162 5003514 5902234 6724106 7227298 8853351 10086159 10840947 17706702 20172318 21681894 26560053 30258477 32522841 43706689 53120106 60516954 65045682 87413378 131120067 262240134 393360201 460601261 786720402 921202522 1381803783 2763607566 4145411349 5987816393 8290822698 11975632786 17963449179 35926898358 53890347537 107780695074